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Finding the Third Proportional to 724,898 and 1,569,265

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Solution

The third proportional to 724,898 and 1,569,265 is: 3,397,157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,898 : 1,569,265 = 1,569,265 : x
  2. Step 2: Convert to fraction form
    724,898/1,569,265 = 1,569,265/x
  3. Step 3: Cross multiply
    724,898x = 1,569,265 × 1,569,265
  4. Step 4: Simplify right side
    724,898x = 2,462,592,640,225
  5. Step 5: Solve for x
    x = 2,462,592,640,225/724,898
  6. Step 6: Final answer
    x = 3,397,157.45

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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.