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Finding the Third Proportional to 772,709.88 and 1,182,013.13

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Solution

The third proportional to 772,709.88 and 1,182,013.13 is: 1,808,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,709.88 : 1,182,013.13 = 1,182,013.13 : x
  2. Step 2: Convert to fraction form
    772,709.88/1,182,013.13 = 1,182,013.13/x
  3. Step 3: Cross multiply
    772,709.88x = 1,182,013.13 × 1,182,013.13
  4. Step 4: Simplify right side
    772,709.88x = 1,397,155,027,672.27
  5. Step 5: Solve for x
    x = 1,397,155,027,672.27/772,709.88
  6. Step 6: Final answer
    x = 1,808,123.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.