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Finding the Third Proportional to 3,707,851.50 and 5,729,767.50

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Solution

The third proportional to 3,707,851.50 and 5,729,767.50 is: 8,854,247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707,851.50 : 5,729,767.50 = 5,729,767.50 : x
  2. Step 2: Convert to fraction form
    3,707,851.50/5,729,767.50 = 5,729,767.50/x
  3. Step 3: Cross multiply
    3,707,851.50x = 5,729,767.50 × 5,729,767.50
  4. Step 4: Simplify right side
    3,707,851.50x = 32,830,235,604,056.25
  5. Step 5: Solve for x
    x = 32,830,235,604,056.25/3,707,851.50
  6. Step 6: Final answer
    x = 8,854,247.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.