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Finding the Third Proportional to 807,831.14 and 1,250,800.31

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Solution

The third proportional to 807,831.14 and 1,250,800.31 is: 1,936,668.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,831.14 : 1,250,800.31 = 1,250,800.31 : x
  2. Step 2: Convert to fraction form
    807,831.14/1,250,800.31 = 1,250,800.31/x
  3. Step 3: Cross multiply
    807,831.14x = 1,250,800.31 × 1,250,800.31
  4. Step 4: Simplify right side
    807,831.14x = 1,564,501,421,750.10
  5. Step 5: Solve for x
    x = 1,564,501,421,750.10/807,831.14
  6. Step 6: Final answer
    x = 1,936,668.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.