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Finding the Third Proportional to 662,472 and 1,429,920

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Solution

The third proportional to 662,472 and 1,429,920 is: 3,086,426.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,472 : 1,429,920 = 1,429,920 : x
  2. Step 2: Convert to fraction form
    662,472/1,429,920 = 1,429,920/x
  3. Step 3: Cross multiply
    662,472x = 1,429,920 × 1,429,920
  4. Step 4: Simplify right side
    662,472x = 2,044,671,206,400
  5. Step 5: Solve for x
    x = 2,044,671,206,400/662,472
  6. Step 6: Final answer
    x = 3,086,426.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.