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Finding the Third Proportional to 561,102.19 and 1,216,108.69

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Solution

The third proportional to 561,102.19 and 1,216,108.69 is: 2,635,741.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,102.19 : 1,216,108.69 = 1,216,108.69 : x
  2. Step 2: Convert to fraction form
    561,102.19/1,216,108.69 = 1,216,108.69/x
  3. Step 3: Cross multiply
    561,102.19x = 1,216,108.69 × 1,216,108.69
  4. Step 4: Simplify right side
    561,102.19x = 1,478,920,339,812.97
  5. Step 5: Solve for x
    x = 1,478,920,339,812.97/561,102.19
  6. Step 6: Final answer
    x = 2,635,741.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.