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Finding the Third Proportional to 1,238,463 and 2,561,882.06

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Solution

The third proportional to 1,238,463 and 2,561,882.06 is: 5,299,504.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,463 : 2,561,882.06 = 2,561,882.06 : x
  2. Step 2: Convert to fraction form
    1,238,463/2,561,882.06 = 2,561,882.06/x
  3. Step 3: Cross multiply
    1,238,463x = 2,561,882.06 × 2,561,882.06
  4. Step 4: Simplify right side
    1,238,463x = 6,563,239,702,159.25
  5. Step 5: Solve for x
    x = 6,563,239,702,159.25/1,238,463
  6. Step 6: Final answer
    x = 5,299,504.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.