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Finding the Third Proportional to 1,702,784 and 2,561,327

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Solution

The third proportional to 1,702,784 and 2,561,327 is: 3,852,747.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702,784 : 2,561,327 = 2,561,327 : x
  2. Step 2: Convert to fraction form
    1,702,784/2,561,327 = 2,561,327/x
  3. Step 3: Cross multiply
    1,702,784x = 2,561,327 × 2,561,327
  4. Step 4: Simplify right side
    1,702,784x = 6,560,396,000,929
  5. Step 5: Solve for x
    x = 6,560,396,000,929/1,702,784
  6. Step 6: Final answer
    x = 3,852,747.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.