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Finding the Third Proportional to 1,350,743 and 2,138,866.50

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Solution

The third proportional to 1,350,743 and 2,138,866.50 is: 3,386,839.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350,743 : 2,138,866.50 = 2,138,866.50 : x
  2. Step 2: Convert to fraction form
    1,350,743/2,138,866.50 = 2,138,866.50/x
  3. Step 3: Cross multiply
    1,350,743x = 2,138,866.50 × 2,138,866.50
  4. Step 4: Simplify right side
    1,350,743x = 4,574,749,904,822.25
  5. Step 5: Solve for x
    x = 4,574,749,904,822.25/1,350,743
  6. Step 6: Final answer
    x = 3,386,839.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.