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Finding the Third Proportional to 1,216,705.50 and 2,816,593.88

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Solution

The third proportional to 1,216,705.50 and 2,816,593.88 is: 6,520,231.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216,705.50 : 2,816,593.88 = 2,816,593.88 : x
  2. Step 2: Convert to fraction form
    1,216,705.50/2,816,593.88 = 2,816,593.88/x
  3. Step 3: Cross multiply
    1,216,705.50x = 2,816,593.88 × 2,816,593.88
  4. Step 4: Simplify right side
    1,216,705.50x = 7,933,201,056,687.52
  5. Step 5: Solve for x
    x = 7,933,201,056,687.52/1,216,705.50
  6. Step 6: Final answer
    x = 6,520,231.11

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.