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Finding the Third Proportional to 847,344 and 1,309,180

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Solution

The third proportional to 847,344 and 1,309,180 is: 2,022,734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,344 : 1,309,180 = 1,309,180 : x
  2. Step 2: Convert to fraction form
    847,344/1,309,180 = 1,309,180/x
  3. Step 3: Cross multiply
    847,344x = 1,309,180 × 1,309,180
  4. Step 4: Simplify right side
    847,344x = 1,713,952,272,400
  5. Step 5: Solve for x
    x = 1,713,952,272,400/847,344
  6. Step 6: Final answer
    x = 2,022,734.89

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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.