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Finding the Third Proportional to 875,932.50 and 1,882,800

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Solution

The third proportional to 875,932.50 and 1,882,800 is: 4,047,042.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,932.50 : 1,882,800 = 1,882,800 : x
  2. Step 2: Convert to fraction form
    875,932.50/1,882,800 = 1,882,800/x
  3. Step 3: Cross multiply
    875,932.50x = 1,882,800 × 1,882,800
  4. Step 4: Simplify right side
    875,932.50x = 3,544,935,840,000
  5. Step 5: Solve for x
    x = 3,544,935,840,000/875,932.50
  6. Step 6: Final answer
    x = 4,047,042.25

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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.