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Finding the Third Proportional to 588,125 and 1,275,808

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Solution

The third proportional to 588,125 and 1,275,808 is: 2,767,585.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,125 : 1,275,808 = 1,275,808 : x
  2. Step 2: Convert to fraction form
    588,125/1,275,808 = 1,275,808/x
  3. Step 3: Cross multiply
    588,125x = 1,275,808 × 1,275,808
  4. Step 4: Simplify right side
    588,125x = 1,627,686,052,864
  5. Step 5: Solve for x
    x = 1,627,686,052,864/588,125
  6. Step 6: Final answer
    x = 2,767,585.21

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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.