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Finding the Third Proportional to 584,469 and 1,259,226

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Solution

The third proportional to 584,469 and 1,259,226 is: 2,712,975.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,469 : 1,259,226 = 1,259,226 : x
  2. Step 2: Convert to fraction form
    584,469/1,259,226 = 1,259,226/x
  3. Step 3: Cross multiply
    584,469x = 1,259,226 × 1,259,226
  4. Step 4: Simplify right side
    584,469x = 1,585,650,119,076
  5. Step 5: Solve for x
    x = 1,585,650,119,076/584,469
  6. Step 6: Final answer
    x = 2,712,975.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.