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Finding the Third Proportional to 724,923 and 1,569,312

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Solution

The third proportional to 724,923 and 1,569,312 is: 3,397,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,923 : 1,569,312 = 1,569,312 : x
  2. Step 2: Convert to fraction form
    724,923/1,569,312 = 1,569,312/x
  3. Step 3: Cross multiply
    724,923x = 1,569,312 × 1,569,312
  4. Step 4: Simplify right side
    724,923x = 2,462,740,153,344
  5. Step 5: Solve for x
    x = 2,462,740,153,344/724,923
  6. Step 6: Final answer
    x = 3,397,243.78

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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.