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Finding the Third Proportional to 877,134.13 and 1,312,131.66

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Solution

The third proportional to 877,134.13 and 1,312,131.66 is: 1,962,857.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,134.13 : 1,312,131.66 = 1,312,131.66 : x
  2. Step 2: Convert to fraction form
    877,134.13/1,312,131.66 = 1,312,131.66/x
  3. Step 3: Cross multiply
    877,134.13x = 1,312,131.66 × 1,312,131.66
  4. Step 4: Simplify right side
    877,134.13x = 1,721,689,483,333.37
  5. Step 5: Solve for x
    x = 1,721,689,483,333.37/877,134.13
  6. Step 6: Final answer
    x = 1,962,857.71

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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.