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Finding the Third Proportional to 972,000 and 2,049,624

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Solution

The third proportional to 972,000 and 2,049,624 is: 4,321,973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,000 : 2,049,624 = 2,049,624 : x
  2. Step 2: Convert to fraction form
    972,000/2,049,624 = 2,049,624/x
  3. Step 3: Cross multiply
    972,000x = 2,049,624 × 2,049,624
  4. Step 4: Simplify right side
    972,000x = 4,200,958,541,376
  5. Step 5: Solve for x
    x = 4,200,958,541,376/972,000
  6. Step 6: Final answer
    x = 4,321,973.81

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.