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Finding the Third Proportional to 877,132.69 and 1,312,129.13

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Solution

The third proportional to 877,132.69 and 1,312,129.13 is: 1,962,853.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,132.69 : 1,312,129.13 = 1,312,129.13 : x
  2. Step 2: Convert to fraction form
    877,132.69/1,312,129.13 = 1,312,129.13/x
  3. Step 3: Cross multiply
    877,132.69x = 1,312,129.13 × 1,312,129.13
  4. Step 4: Simplify right side
    877,132.69x = 1,721,682,840,673.27
  5. Step 5: Solve for x
    x = 1,721,682,840,673.27/877,132.69
  6. Step 6: Final answer
    x = 1,962,853.36

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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.