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Finding the Third Proportional to 724,911 and 1,569,288

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Solution

The third proportional to 724,911 and 1,569,288 is: 3,397,196.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,911 : 1,569,288 = 1,569,288 : x
  2. Step 2: Convert to fraction form
    724,911/1,569,288 = 1,569,288/x
  3. Step 3: Cross multiply
    724,911x = 1,569,288 × 1,569,288
  4. Step 4: Simplify right side
    724,911x = 2,462,664,826,944
  5. Step 5: Solve for x
    x = 2,462,664,826,944/724,911
  6. Step 6: Final answer
    x = 3,397,196.11

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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.