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Finding the Third Proportional to 724,925 and 1,569,316

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Solution

The third proportional to 724,925 and 1,569,316 is: 3,397,251.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,925 : 1,569,316 = 1,569,316 : x
  2. Step 2: Convert to fraction form
    724,925/1,569,316 = 1,569,316/x
  3. Step 3: Cross multiply
    724,925x = 1,569,316 × 1,569,316
  4. Step 4: Simplify right side
    724,925x = 2,462,752,707,856
  5. Step 5: Solve for x
    x = 2,462,752,707,856/724,925
  6. Step 6: Final answer
    x = 3,397,251.73

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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.