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Finding the Third Proportional to 984,572 and 2,151,376

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Solution

The third proportional to 984,572 and 2,151,376 is: 4,700,944.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,572 : 2,151,376 = 2,151,376 : x
  2. Step 2: Convert to fraction form
    984,572/2,151,376 = 2,151,376/x
  3. Step 3: Cross multiply
    984,572x = 2,151,376 × 2,151,376
  4. Step 4: Simplify right side
    984,572x = 4,628,418,693,376
  5. Step 5: Solve for x
    x = 4,628,418,693,376/984,572
  6. Step 6: Final answer
    x = 4,700,944.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.