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Finding the Third Proportional to 724,692 and 1,574,240

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Solution

The third proportional to 724,692 and 1,574,240 is: 3,419,703.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,692 : 1,574,240 = 1,574,240 : x
  2. Step 2: Convert to fraction form
    724,692/1,574,240 = 1,574,240/x
  3. Step 3: Cross multiply
    724,692x = 1,574,240 × 1,574,240
  4. Step 4: Simplify right side
    724,692x = 2,478,231,577,600
  5. Step 5: Solve for x
    x = 2,478,231,577,600/724,692
  6. Step 6: Final answer
    x = 3,419,703.24

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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.