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Finding the Third Proportional to 586,150 and 914,223

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Solution

The third proportional to 586,150 and 914,223 is: 1,425,921.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,150 : 914,223 = 914,223 : x
  2. Step 2: Convert to fraction form
    586,150/914,223 = 914,223/x
  3. Step 3: Cross multiply
    586,150x = 914,223 × 914,223
  4. Step 4: Simplify right side
    586,150x = 835,803,693,729
  5. Step 5: Solve for x
    x = 835,803,693,729/586,150
  6. Step 6: Final answer
    x = 1,425,921.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.