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Finding the Third Proportional to 724,648 and 1,574,161

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Solution

The third proportional to 724,648 and 1,574,161 is: 3,419,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,648 : 1,574,161 = 1,574,161 : x
  2. Step 2: Convert to fraction form
    724,648/1,574,161 = 1,574,161/x
  3. Step 3: Cross multiply
    724,648x = 1,574,161 × 1,574,161
  4. Step 4: Simplify right side
    724,648x = 2,477,982,853,921
  5. Step 5: Solve for x
    x = 2,477,982,853,921/724,648
  6. Step 6: Final answer
    x = 3,419,567.64

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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.