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Finding the Third Proportional to 663,952.50 and 1,422,576

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Solution

The third proportional to 663,952.50 and 1,422,576 is: 3,047,992.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,952.50 : 1,422,576 = 1,422,576 : x
  2. Step 2: Convert to fraction form
    663,952.50/1,422,576 = 1,422,576/x
  3. Step 3: Cross multiply
    663,952.50x = 1,422,576 × 1,422,576
  4. Step 4: Simplify right side
    663,952.50x = 2,023,722,475,776
  5. Step 5: Solve for x
    x = 2,023,722,475,776/663,952.50
  6. Step 6: Final answer
    x = 3,047,992.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.