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Finding the Third Proportional to 516,291.56 and 1,118,390.06

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Solution

The third proportional to 516,291.56 and 1,118,390.06 is: 2,422,654.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,291.56 : 1,118,390.06 = 1,118,390.06 : x
  2. Step 2: Convert to fraction form
    516,291.56/1,118,390.06 = 1,118,390.06/x
  3. Step 3: Cross multiply
    516,291.56x = 1,118,390.06 × 1,118,390.06
  4. Step 4: Simplify right side
    516,291.56x = 1,250,796,331,898.75
  5. Step 5: Solve for x
    x = 1,250,796,331,898.75/516,291.56
  6. Step 6: Final answer
    x = 2,422,654.99

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