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Finding the Third Proportional to 895,832,905 and 1,390,914,758

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Solution

The third proportional to 895,832,905 and 1,390,914,758 is: 2,159,603,485.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,832,905 : 1,390,914,758 = 1,390,914,758 : x
  2. Step 2: Convert to fraction form
    895,832,905/1,390,914,758 = 1,390,914,758/x
  3. Step 3: Cross multiply
    895,832,905x = 1,390,914,758 × 1,390,914,758
  4. Step 4: Simplify right side
    895,832,905x = 1,934,643,864,022,198,528
  5. Step 5: Solve for x
    x = 1,934,643,864,022,198,528/895,832,905
  6. Step 6: Final answer
    x = 2,159,603,485.45

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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.