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Finding the Third Proportional to 516,714.19 and 1,134,298.69

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Solution

The third proportional to 516,714.19 and 1,134,298.69 is: 2,490,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,714.19 : 1,134,298.69 = 1,134,298.69 : x
  2. Step 2: Convert to fraction form
    516,714.19/1,134,298.69 = 1,134,298.69/x
  3. Step 3: Cross multiply
    516,714.19x = 1,134,298.69 × 1,134,298.69
  4. Step 4: Simplify right side
    516,714.19x = 1,286,633,512,464.22
  5. Step 5: Solve for x
    x = 1,286,633,512,464.22/516,714.19
  6. Step 6: Final answer
    x = 2,490,029.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.