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Finding the Third Proportional to 556,139.25 and 1,214,217

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Solution

The third proportional to 556,139.25 and 1,214,217 is: 2,650,995.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,139.25 : 1,214,217 = 1,214,217 : x
  2. Step 2: Convert to fraction form
    556,139.25/1,214,217 = 1,214,217/x
  3. Step 3: Cross multiply
    556,139.25x = 1,214,217 × 1,214,217
  4. Step 4: Simplify right side
    556,139.25x = 1,474,322,923,089
  5. Step 5: Solve for x
    x = 1,474,322,923,089/556,139.25
  6. Step 6: Final answer
    x = 2,650,995.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.