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Finding the Third Proportional to 1,743,180.75 and 3,766,459.50

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Solution

The third proportional to 1,743,180.75 and 3,766,459.50 is: 8,138,121.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743,180.75 : 3,766,459.50 = 3,766,459.50 : x
  2. Step 2: Convert to fraction form
    1,743,180.75/3,766,459.50 = 3,766,459.50/x
  3. Step 3: Cross multiply
    1,743,180.75x = 3,766,459.50 × 3,766,459.50
  4. Step 4: Simplify right side
    1,743,180.75x = 14,186,217,165,140.25
  5. Step 5: Solve for x
    x = 14,186,217,165,140.25/1,743,180.75
  6. Step 6: Final answer
    x = 8,138,121.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.