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Finding the Third Proportional to 654,327 and 1,411,767

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Solution

The third proportional to 654,327 and 1,411,767 is: 3,046,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,327 : 1,411,767 = 1,411,767 : x
  2. Step 2: Convert to fraction form
    654,327/1,411,767 = 1,411,767/x
  3. Step 3: Cross multiply
    654,327x = 1,411,767 × 1,411,767
  4. Step 4: Simplify right side
    654,327x = 1,993,086,062,289
  5. Step 5: Solve for x
    x = 1,993,086,062,289/654,327
  6. Step 6: Final answer
    x = 3,046,009.20

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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.