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Finding the Third Proportional to 3,251,569 and 4,574,884

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Solution

The third proportional to 3,251,569 and 4,574,884 is: 6,436,758.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251,569 : 4,574,884 = 4,574,884 : x
  2. Step 2: Convert to fraction form
    3,251,569/4,574,884 = 4,574,884/x
  3. Step 3: Cross multiply
    3,251,569x = 4,574,884 × 4,574,884
  4. Step 4: Simplify right side
    3,251,569x = 20,929,563,613,456
  5. Step 5: Solve for x
    x = 20,929,563,613,456/3,251,569
  6. Step 6: Final answer
    x = 6,436,758.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.