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Finding the Third Proportional to 1,561,321 and 3,614,234

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Solution

The third proportional to 1,561,321 and 3,614,234 is: 8,366,432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561,321 : 3,614,234 = 3,614,234 : x
  2. Step 2: Convert to fraction form
    1,561,321/3,614,234 = 3,614,234/x
  3. Step 3: Cross multiply
    1,561,321x = 3,614,234 × 3,614,234
  4. Step 4: Simplify right side
    1,561,321x = 13,062,687,406,756
  5. Step 5: Solve for x
    x = 13,062,687,406,756/1,561,321
  6. Step 6: Final answer
    x = 8,366,432.92

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.