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Finding the Third Proportional to 709,114.50 and 1,061,181

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Solution

The third proportional to 709,114.50 and 1,061,181 is: 1,588,044.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,114.50 : 1,061,181 = 1,061,181 : x
  2. Step 2: Convert to fraction form
    709,114.50/1,061,181 = 1,061,181/x
  3. Step 3: Cross multiply
    709,114.50x = 1,061,181 × 1,061,181
  4. Step 4: Simplify right side
    709,114.50x = 1,126,105,114,761
  5. Step 5: Solve for x
    x = 1,126,105,114,761/709,114.50
  6. Step 6: Final answer
    x = 1,588,044.12

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Why These Related Problems?

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