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Finding the Third Proportional to 1,011,514.08 and 2,167,309.41

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Solution

The third proportional to 1,011,514.08 and 2,167,309.41 is: 4,643,761.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,514.08 : 2,167,309.41 = 2,167,309.41 : x
  2. Step 2: Convert to fraction form
    1,011,514.08/2,167,309.41 = 2,167,309.41/x
  3. Step 3: Cross multiply
    1,011,514.08x = 2,167,309.41 × 2,167,309.41
  4. Step 4: Simplify right side
    1,011,514.08x = 4,697,230,062,419.73
  5. Step 5: Solve for x
    x = 4,697,230,062,419.73/1,011,514.08
  6. Step 6: Final answer
    x = 4,643,761.43

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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.