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Finding the Third Proportional to 709,135.50 and 1,061,197.13

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Solution

The third proportional to 709,135.50 and 1,061,197.13 is: 1,588,045.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,135.50 : 1,061,197.13 = 1,061,197.13 : x
  2. Step 2: Convert to fraction form
    709,135.50/1,061,197.13 = 1,061,197.13/x
  3. Step 3: Cross multiply
    709,135.50x = 1,061,197.13 × 1,061,197.13
  4. Step 4: Simplify right side
    709,135.50x = 1,126,139,338,108.27
  5. Step 5: Solve for x
    x = 1,126,139,338,108.27/709,135.50
  6. Step 6: Final answer
    x = 1,588,045.36

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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.