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Finding the Third Proportional to 766,503 and 1,663,399.13

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Solution

The third proportional to 766,503 and 1,663,399.13 is: 3,609,766.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,503 : 1,663,399.13 = 1,663,399.13 : x
  2. Step 2: Convert to fraction form
    766,503/1,663,399.13 = 1,663,399.13/x
  3. Step 3: Cross multiply
    766,503x = 1,663,399.13 × 1,663,399.13
  4. Step 4: Simplify right side
    766,503x = 2,766,896,649,050.77
  5. Step 5: Solve for x
    x = 2,766,896,649,050.77/766,503
  6. Step 6: Final answer
    x = 3,609,766.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.