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Finding the Third Proportional to 997,936 and 2,176,448

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Solution

The third proportional to 997,936 and 2,176,448 is: 4,746,723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,936 : 2,176,448 = 2,176,448 : x
  2. Step 2: Convert to fraction form
    997,936/2,176,448 = 2,176,448/x
  3. Step 3: Cross multiply
    997,936x = 2,176,448 × 2,176,448
  4. Step 4: Simplify right side
    997,936x = 4,736,925,896,704
  5. Step 5: Solve for x
    x = 4,736,925,896,704/997,936
  6. Step 6: Final answer
    x = 4,746,723.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.