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Finding the Third Proportional to 560,424.45 and 1,160,727.47

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Solution

The third proportional to 560,424.45 and 1,160,727.47 is: 2,404,049.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,424.45 : 1,160,727.47 = 1,160,727.47 : x
  2. Step 2: Convert to fraction form
    560,424.45/1,160,727.47 = 1,160,727.47/x
  3. Step 3: Cross multiply
    560,424.45x = 1,160,727.47 × 1,160,727.47
  4. Step 4: Simplify right side
    560,424.45x = 1,347,288,256,710.78
  5. Step 5: Solve for x
    x = 1,347,288,256,710.78/560,424.45
  6. Step 6: Final answer
    x = 2,404,049.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.