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Finding the Third Proportional to 592,651.69 and 1,255,834.13

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Solution

The third proportional to 592,651.69 and 1,255,834.13 is: 2,661,123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,651.69 : 1,255,834.13 = 1,255,834.13 : x
  2. Step 2: Convert to fraction form
    592,651.69/1,255,834.13 = 1,255,834.13/x
  3. Step 3: Cross multiply
    592,651.69x = 1,255,834.13 × 1,255,834.13
  4. Step 4: Simplify right side
    592,651.69x = 1,577,119,349,514.52
  5. Step 5: Solve for x
    x = 1,577,119,349,514.52/592,651.69
  6. Step 6: Final answer
    x = 2,661,123.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.