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Finding the Third Proportional to 898,013 and 1,356,348

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Solution

The third proportional to 898,013 and 1,356,348 is: 2,048,611.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,013 : 1,356,348 = 1,356,348 : x
  2. Step 2: Convert to fraction form
    898,013/1,356,348 = 1,356,348/x
  3. Step 3: Cross multiply
    898,013x = 1,356,348 × 1,356,348
  4. Step 4: Simplify right side
    898,013x = 1,839,679,897,104
  5. Step 5: Solve for x
    x = 1,839,679,897,104/898,013
  6. Step 6: Final answer
    x = 2,048,611.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.