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Finding the Third Proportional to 3,781,434 and 5,717,169

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Solution

The third proportional to 3,781,434 and 5,717,169 is: 8,643,816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781,434 : 5,717,169 = 5,717,169 : x
  2. Step 2: Convert to fraction form
    3,781,434/5,717,169 = 5,717,169/x
  3. Step 3: Cross multiply
    3,781,434x = 5,717,169 × 5,717,169
  4. Step 4: Simplify right side
    3,781,434x = 32,686,021,374,561
  5. Step 5: Solve for x
    x = 32,686,021,374,561/3,781,434
  6. Step 6: Final answer
    x = 8,643,816.44

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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.