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Finding the Third Proportional to 3,781,006.50 and 5,811,681

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Solution

The third proportional to 3,781,006.50 and 5,811,681 is: 8,932,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781,006.50 : 5,811,681 = 5,811,681 : x
  2. Step 2: Convert to fraction form
    3,781,006.50/5,811,681 = 5,811,681/x
  3. Step 3: Cross multiply
    3,781,006.50x = 5,811,681 × 5,811,681
  4. Step 4: Simplify right side
    3,781,006.50x = 33,775,636,045,761
  5. Step 5: Solve for x
    x = 33,775,636,045,761/3,781,006.50
  6. Step 6: Final answer
    x = 8,932,974.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.