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Finding the Third Proportional to 569,107.13 and 1,219,343.91

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Solution

The third proportional to 569,107.13 and 1,219,343.91 is: 2,612,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,107.13 : 1,219,343.91 = 1,219,343.91 : x
  2. Step 2: Convert to fraction form
    569,107.13/1,219,343.91 = 1,219,343.91/x
  3. Step 3: Cross multiply
    569,107.13x = 1,219,343.91 × 1,219,343.91
  4. Step 4: Simplify right side
    569,107.13x = 1,486,799,561,709.01
  5. Step 5: Solve for x
    x = 1,486,799,561,709.01/569,107.13
  6. Step 6: Final answer
    x = 2,612,512.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.