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Finding the Third Proportional to 514,215.75 and 1,107,452.25

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Solution

The third proportional to 514,215.75 and 1,107,452.25 is: 2,385,089.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,215.75 : 1,107,452.25 = 1,107,452.25 : x
  2. Step 2: Convert to fraction form
    514,215.75/1,107,452.25 = 1,107,452.25/x
  3. Step 3: Cross multiply
    514,215.75x = 1,107,452.25 × 1,107,452.25
  4. Step 4: Simplify right side
    514,215.75x = 1,226,450,486,030.06
  5. Step 5: Solve for x
    x = 1,226,450,486,030.06/514,215.75
  6. Step 6: Final answer
    x = 2,385,089.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.