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Finding the Third Proportional to 724,934 and 1,569,337

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Solution

The third proportional to 724,934 and 1,569,337 is: 3,397,300.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,934 : 1,569,337 = 1,569,337 : x
  2. Step 2: Convert to fraction form
    724,934/1,569,337 = 1,569,337/x
  3. Step 3: Cross multiply
    724,934x = 1,569,337 × 1,569,337
  4. Step 4: Simplify right side
    724,934x = 2,462,818,619,569
  5. Step 5: Solve for x
    x = 2,462,818,619,569/724,934
  6. Step 6: Final answer
    x = 3,397,300.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.