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Finding the Third Proportional to 2,438,160.75 and 3,586,543.31

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Solution

The third proportional to 2,438,160.75 and 3,586,543.31 is: 5,275,818.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438,160.75 : 3,586,543.31 = 3,586,543.31 : x
  2. Step 2: Convert to fraction form
    2,438,160.75/3,586,543.31 = 3,586,543.31/x
  3. Step 3: Cross multiply
    2,438,160.75x = 3,586,543.31 × 3,586,543.31
  4. Step 4: Simplify right side
    2,438,160.75x = 12,863,292,932,438.47
  5. Step 5: Solve for x
    x = 12,863,292,932,438.47/2,438,160.75
  6. Step 6: Final answer
    x = 5,275,818.23

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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.