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Finding the Third Proportional to 997,952 and 2,176,480

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Solution

The third proportional to 997,952 and 2,176,480 is: 4,746,786.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,952 : 2,176,480 = 2,176,480 : x
  2. Step 2: Convert to fraction form
    997,952/2,176,480 = 2,176,480/x
  3. Step 3: Cross multiply
    997,952x = 2,176,480 × 2,176,480
  4. Step 4: Simplify right side
    997,952x = 4,737,065,190,400
  5. Step 5: Solve for x
    x = 4,737,065,190,400/997,952
  6. Step 6: Final answer
    x = 4,746,786.61

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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.