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Finding the Third Proportional to 523,959 and 1,069,902

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Solution

The third proportional to 523,959 and 1,069,902 is: 2,184,694.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,959 : 1,069,902 = 1,069,902 : x
  2. Step 2: Convert to fraction form
    523,959/1,069,902 = 1,069,902/x
  3. Step 3: Cross multiply
    523,959x = 1,069,902 × 1,069,902
  4. Step 4: Simplify right side
    523,959x = 1,144,690,289,604
  5. Step 5: Solve for x
    x = 1,144,690,289,604/523,959
  6. Step 6: Final answer
    x = 2,184,694.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.