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Finding the Third Proportional to 3,781,425.94 and 5,717,160.56

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Solution

The third proportional to 3,781,425.94 and 5,717,160.56 is: 8,643,809.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781,425.94 : 5,717,160.56 = 5,717,160.56 : x
  2. Step 2: Convert to fraction form
    3,781,425.94/5,717,160.56 = 5,717,160.56/x
  3. Step 3: Cross multiply
    3,781,425.94x = 5,717,160.56 × 5,717,160.56
  4. Step 4: Simplify right side
    3,781,425.94x = 32,685,924,897,405.32
  5. Step 5: Solve for x
    x = 32,685,924,897,405.32/3,781,425.94
  6. Step 6: Final answer
    x = 8,643,809.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.