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Finding the Third Proportional to 744,315 and 1,614,657

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Solution

The third proportional to 744,315 and 1,614,657 is: 3,502,706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,315 : 1,614,657 = 1,614,657 : x
  2. Step 2: Convert to fraction form
    744,315/1,614,657 = 1,614,657/x
  3. Step 3: Cross multiply
    744,315x = 1,614,657 × 1,614,657
  4. Step 4: Simplify right side
    744,315x = 2,607,117,227,649
  5. Step 5: Solve for x
    x = 2,607,117,227,649/744,315
  6. Step 6: Final answer
    x = 3,502,706.82

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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.