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Finding the Third Proportional to 3,472,414.31 and 4,953,241.13

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Solution

The third proportional to 3,472,414.31 and 4,953,241.13 is: 7,065,573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472,414.31 : 4,953,241.13 = 4,953,241.13 : x
  2. Step 2: Convert to fraction form
    3,472,414.31/4,953,241.13 = 4,953,241.13/x
  3. Step 3: Cross multiply
    3,472,414.31x = 4,953,241.13 × 4,953,241.13
  4. Step 4: Simplify right side
    3,472,414.31x = 24,534,597,642,391.27
  5. Step 5: Solve for x
    x = 24,534,597,642,391.27/3,472,414.31
  6. Step 6: Final answer
    x = 7,065,573.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.