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Finding the Third Proportional to 586,831.50 and 1,245,628.13

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Solution

The third proportional to 586,831.50 and 1,245,628.13 is: 2,644,011.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,831.50 : 1,245,628.13 = 1,245,628.13 : x
  2. Step 2: Convert to fraction form
    586,831.50/1,245,628.13 = 1,245,628.13/x
  3. Step 3: Cross multiply
    586,831.50x = 1,245,628.13 × 1,245,628.13
  4. Step 4: Simplify right side
    586,831.50x = 1,551,589,425,791.02
  5. Step 5: Solve for x
    x = 1,551,589,425,791.02/586,831.50
  6. Step 6: Final answer
    x = 2,644,011.83

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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.