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Finding the Third Proportional to 567,486 and 1,161,216

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Solution

The third proportional to 567,486 and 1,161,216 is: 2,376,133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,486 : 1,161,216 = 1,161,216 : x
  2. Step 2: Convert to fraction form
    567,486/1,161,216 = 1,161,216/x
  3. Step 3: Cross multiply
    567,486x = 1,161,216 × 1,161,216
  4. Step 4: Simplify right side
    567,486x = 1,348,422,598,656
  5. Step 5: Solve for x
    x = 1,348,422,598,656/567,486
  6. Step 6: Final answer
    x = 2,376,133.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.