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Finding the Third Proportional to 724,374 and 1,573,407

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Solution

The third proportional to 724,374 and 1,573,407 is: 3,417,584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,374 : 1,573,407 = 1,573,407 : x
  2. Step 2: Convert to fraction form
    724,374/1,573,407 = 1,573,407/x
  3. Step 3: Cross multiply
    724,374x = 1,573,407 × 1,573,407
  4. Step 4: Simplify right side
    724,374x = 2,475,609,587,649
  5. Step 5: Solve for x
    x = 2,475,609,587,649/724,374
  6. Step 6: Final answer
    x = 3,417,584.82

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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.