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Finding the Third Proportional to 1,471,714.31 and 2,159,115.75

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Solution

The third proportional to 1,471,714.31 and 2,159,115.75 is: 3,167,585.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471,714.31 : 2,159,115.75 = 2,159,115.75 : x
  2. Step 2: Convert to fraction form
    1,471,714.31/2,159,115.75 = 2,159,115.75/x
  3. Step 3: Cross multiply
    1,471,714.31x = 2,159,115.75 × 2,159,115.75
  4. Step 4: Simplify right side
    1,471,714.31x = 4,661,780,821,898.06
  5. Step 5: Solve for x
    x = 4,661,780,821,898.06/1,471,714.31
  6. Step 6: Final answer
    x = 3,167,585.44

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.