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Finding the Third Proportional to 895,832,902.97 and 1,390,914,754.59

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Solution

The third proportional to 895,832,902.97 and 1,390,914,754.59 is: 2,159,603,479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,832,902.97 : 1,390,914,754.59 = 1,390,914,754.59 : x
  2. Step 2: Convert to fraction form
    895,832,902.97/1,390,914,754.59 = 1,390,914,754.59/x
  3. Step 3: Cross multiply
    895,832,902.97x = 1,390,914,754.59 × 1,390,914,754.59
  4. Step 4: Simplify right side
    895,832,902.97x = 1,934,643,854,546,731,008
  5. Step 5: Solve for x
    x = 1,934,643,854,546,731,008/895,832,902.97
  6. Step 6: Final answer
    x = 2,159,603,479.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.