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Finding the Third Proportional to 709,280 and 1,061,407

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Solution

The third proportional to 709,280 and 1,061,407 is: 1,588,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,280 : 1,061,407 = 1,061,407 : x
  2. Step 2: Convert to fraction form
    709,280/1,061,407 = 1,061,407/x
  3. Step 3: Cross multiply
    709,280x = 1,061,407 × 1,061,407
  4. Step 4: Simplify right side
    709,280x = 1,126,584,819,649
  5. Step 5: Solve for x
    x = 1,126,584,819,649/709,280
  6. Step 6: Final answer
    x = 1,588,349.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.