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Finding the Third Proportional to 710,568 and 1,522,432

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Solution

The third proportional to 710,568 and 1,522,432 is: 3,261,896.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,568 : 1,522,432 = 1,522,432 : x
  2. Step 2: Convert to fraction form
    710,568/1,522,432 = 1,522,432/x
  3. Step 3: Cross multiply
    710,568x = 1,522,432 × 1,522,432
  4. Step 4: Simplify right side
    710,568x = 2,317,799,194,624
  5. Step 5: Solve for x
    x = 2,317,799,194,624/710,568
  6. Step 6: Final answer
    x = 3,261,896.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.