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Finding the Third Proportional to 669,872 and 1,444,693

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Solution

The third proportional to 669,872 and 1,444,693 is: 3,115,726.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,872 : 1,444,693 = 1,444,693 : x
  2. Step 2: Convert to fraction form
    669,872/1,444,693 = 1,444,693/x
  3. Step 3: Cross multiply
    669,872x = 1,444,693 × 1,444,693
  4. Step 4: Simplify right side
    669,872x = 2,087,137,864,249
  5. Step 5: Solve for x
    x = 2,087,137,864,249/669,872
  6. Step 6: Final answer
    x = 3,115,726.38

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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.