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Finding the Third Proportional to 1,656,621 and 2,332,327

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Solution

The third proportional to 1,656,621 and 2,332,327 is: 3,283,641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656,621 : 2,332,327 = 2,332,327 : x
  2. Step 2: Convert to fraction form
    1,656,621/2,332,327 = 2,332,327/x
  3. Step 3: Cross multiply
    1,656,621x = 2,332,327 × 2,332,327
  4. Step 4: Simplify right side
    1,656,621x = 5,439,749,234,929
  5. Step 5: Solve for x
    x = 5,439,749,234,929/1,656,621
  6. Step 6: Final answer
    x = 3,283,641.36

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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.