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Finding the Third Proportional to 587,224 and 1,251,362

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Solution

The third proportional to 587,224 and 1,251,362 is: 2,666,626.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,224 : 1,251,362 = 1,251,362 : x
  2. Step 2: Convert to fraction form
    587,224/1,251,362 = 1,251,362/x
  3. Step 3: Cross multiply
    587,224x = 1,251,362 × 1,251,362
  4. Step 4: Simplify right side
    587,224x = 1,565,906,855,044
  5. Step 5: Solve for x
    x = 1,565,906,855,044/587,224
  6. Step 6: Final answer
    x = 2,666,626.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.