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Finding the Third Proportional to 588,089 and 1,275,754

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Solution

The third proportional to 588,089 and 1,275,754 is: 2,767,520.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,089 : 1,275,754 = 1,275,754 : x
  2. Step 2: Convert to fraction form
    588,089/1,275,754 = 1,275,754/x
  3. Step 3: Cross multiply
    588,089x = 1,275,754 × 1,275,754
  4. Step 4: Simplify right side
    588,089x = 1,627,548,268,516
  5. Step 5: Solve for x
    x = 1,627,548,268,516/588,089
  6. Step 6: Final answer
    x = 2,767,520.34

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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.