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Finding the Third Proportional to 1,660,042.69 and 2,442,591.28

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Solution

The third proportional to 1,660,042.69 and 2,442,591.28 is: 3,594,035.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660,042.69 : 2,442,591.28 = 2,442,591.28 : x
  2. Step 2: Convert to fraction form
    1,660,042.69/2,442,591.28 = 2,442,591.28/x
  3. Step 3: Cross multiply
    1,660,042.69x = 2,442,591.28 × 2,442,591.28
  4. Step 4: Simplify right side
    1,660,042.69x = 5,966,252,167,238.52
  5. Step 5: Solve for x
    x = 5,966,252,167,238.52/1,660,042.69
  6. Step 6: Final answer
    x = 3,594,035.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.