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Finding the Third Proportional to 744,311 and 1,614,649

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Solution

The third proportional to 744,311 and 1,614,649 is: 3,502,690.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,311 : 1,614,649 = 1,614,649 : x
  2. Step 2: Convert to fraction form
    744,311/1,614,649 = 1,614,649/x
  3. Step 3: Cross multiply
    744,311x = 1,614,649 × 1,614,649
  4. Step 4: Simplify right side
    744,311x = 2,607,091,393,201
  5. Step 5: Solve for x
    x = 2,607,091,393,201/744,311
  6. Step 6: Final answer
    x = 3,502,690.94

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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.