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Finding the Third Proportional to 724,872 and 1,569,210

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Solution

The third proportional to 724,872 and 1,569,210 is: 3,397,041.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,872 : 1,569,210 = 1,569,210 : x
  2. Step 2: Convert to fraction form
    724,872/1,569,210 = 1,569,210/x
  3. Step 3: Cross multiply
    724,872x = 1,569,210 × 1,569,210
  4. Step 4: Simplify right side
    724,872x = 2,462,420,024,100
  5. Step 5: Solve for x
    x = 2,462,420,024,100/724,872
  6. Step 6: Final answer
    x = 3,397,041.17

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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.