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Finding the Third Proportional to 724,662 and 1,574,190

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Solution

The third proportional to 724,662 and 1,574,190 is: 3,419,627.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,662 : 1,574,190 = 1,574,190 : x
  2. Step 2: Convert to fraction form
    724,662/1,574,190 = 1,574,190/x
  3. Step 3: Cross multiply
    724,662x = 1,574,190 × 1,574,190
  4. Step 4: Simplify right side
    724,662x = 2,478,074,156,100
  5. Step 5: Solve for x
    x = 2,478,074,156,100/724,662
  6. Step 6: Final answer
    x = 3,419,627.57

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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.