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Finding the Third Proportional to 677,694 and 1,473,432

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Solution

The third proportional to 677,694 and 1,473,432 is: 3,203,513.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,694 : 1,473,432 = 1,473,432 : x
  2. Step 2: Convert to fraction form
    677,694/1,473,432 = 1,473,432/x
  3. Step 3: Cross multiply
    677,694x = 1,473,432 × 1,473,432
  4. Step 4: Simplify right side
    677,694x = 2,171,001,858,624
  5. Step 5: Solve for x
    x = 2,171,001,858,624/677,694
  6. Step 6: Final answer
    x = 3,203,513.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.