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Finding the Third Proportional to 596,833.31 and 1,221,242.06

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Solution

The third proportional to 596,833.31 and 1,221,242.06 is: 2,498,909.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,833.31 : 1,221,242.06 = 1,221,242.06 : x
  2. Step 2: Convert to fraction form
    596,833.31/1,221,242.06 = 1,221,242.06/x
  3. Step 3: Cross multiply
    596,833.31x = 1,221,242.06 × 1,221,242.06
  4. Step 4: Simplify right side
    596,833.31x = 1,491,432,175,219.25
  5. Step 5: Solve for x
    x = 1,491,432,175,219.25/596,833.31
  6. Step 6: Final answer
    x = 2,498,909.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.