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Finding the Third Proportional to 766,902 and 1,644,828

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Solution

The third proportional to 766,902 and 1,644,828 is: 3,527,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,902 : 1,644,828 = 1,644,828 : x
  2. Step 2: Convert to fraction form
    766,902/1,644,828 = 1,644,828/x
  3. Step 3: Cross multiply
    766,902x = 1,644,828 × 1,644,828
  4. Step 4: Simplify right side
    766,902x = 2,705,459,149,584
  5. Step 5: Solve for x
    x = 2,705,459,149,584/766,902
  6. Step 6: Final answer
    x = 3,527,776.89

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