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Finding the Third Proportional to 724,656 and 1,574,175

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Solution

The third proportional to 724,656 and 1,574,175 is: 3,419,590.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,656 : 1,574,175 = 1,574,175 : x
  2. Step 2: Convert to fraction form
    724,656/1,574,175 = 1,574,175/x
  3. Step 3: Cross multiply
    724,656x = 1,574,175 × 1,574,175
  4. Step 4: Simplify right side
    724,656x = 2,478,026,930,625
  5. Step 5: Solve for x
    x = 2,478,026,930,625/724,656
  6. Step 6: Final answer
    x = 3,419,590.72

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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.