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Finding the Third Proportional to 728,832 and 1,019,160

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Solution

The third proportional to 728,832 and 1,019,160 is: 1,425,139.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,832 : 1,019,160 = 1,019,160 : x
  2. Step 2: Convert to fraction form
    728,832/1,019,160 = 1,019,160/x
  3. Step 3: Cross multiply
    728,832x = 1,019,160 × 1,019,160
  4. Step 4: Simplify right side
    728,832x = 1,038,687,105,600
  5. Step 5: Solve for x
    x = 1,038,687,105,600/728,832
  6. Step 6: Final answer
    x = 1,425,139.27

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.