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Finding the Third Proportional to 829,762 and 1,281,496

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Solution

The third proportional to 829,762 and 1,281,496 is: 1,979,160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,762 : 1,281,496 = 1,281,496 : x
  2. Step 2: Convert to fraction form
    829,762/1,281,496 = 1,281,496/x
  3. Step 3: Cross multiply
    829,762x = 1,281,496 × 1,281,496
  4. Step 4: Simplify right side
    829,762x = 1,642,231,998,016
  5. Step 5: Solve for x
    x = 1,642,231,998,016/829,762
  6. Step 6: Final answer
    x = 1,979,160.29

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.