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Finding the Third Proportional to 545,710.92 and 1,147,978.13

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Solution

The third proportional to 545,710.92 and 1,147,978.13 is: 2,414,930.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,710.92 : 1,147,978.13 = 1,147,978.13 : x
  2. Step 2: Convert to fraction form
    545,710.92/1,147,978.13 = 1,147,978.13/x
  3. Step 3: Cross multiply
    545,710.92x = 1,147,978.13 × 1,147,978.13
  4. Step 4: Simplify right side
    545,710.92x = 1,317,853,775,478.52
  5. Step 5: Solve for x
    x = 1,317,853,775,478.52/545,710.92
  6. Step 6: Final answer
    x = 2,414,930.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.