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Finding the Third Proportional to 671,463 and 1,442,313

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Solution

The third proportional to 671,463 and 1,442,313 is: 3,098,110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,463 : 1,442,313 = 1,442,313 : x
  2. Step 2: Convert to fraction form
    671,463/1,442,313 = 1,442,313/x
  3. Step 3: Cross multiply
    671,463x = 1,442,313 × 1,442,313
  4. Step 4: Simplify right side
    671,463x = 2,080,266,789,969
  5. Step 5: Solve for x
    x = 2,080,266,789,969/671,463
  6. Step 6: Final answer
    x = 3,098,110.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.