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Finding the Third Proportional to 984,180 and 2,153,523

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Solution

The third proportional to 984,180 and 2,153,523 is: 4,712,208.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,180 : 2,153,523 = 2,153,523 : x
  2. Step 2: Convert to fraction form
    984,180/2,153,523 = 2,153,523/x
  3. Step 3: Cross multiply
    984,180x = 2,153,523 × 2,153,523
  4. Step 4: Simplify right side
    984,180x = 4,637,661,311,529
  5. Step 5: Solve for x
    x = 4,637,661,311,529/984,180
  6. Step 6: Final answer
    x = 4,712,208.45

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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.