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Finding the Third Proportional to 561,188 and 1,227,350

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Solution

The third proportional to 561,188 and 1,227,350 is: 2,684,284.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,188 : 1,227,350 = 1,227,350 : x
  2. Step 2: Convert to fraction form
    561,188/1,227,350 = 1,227,350/x
  3. Step 3: Cross multiply
    561,188x = 1,227,350 × 1,227,350
  4. Step 4: Simplify right side
    561,188x = 1,506,388,022,500
  5. Step 5: Solve for x
    x = 1,506,388,022,500/561,188
  6. Step 6: Final answer
    x = 2,684,284.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.