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Finding the Third Proportional to 670,800 and 997,074

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Solution

The third proportional to 670,800 and 997,074 is: 1,482,046.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,800 : 997,074 = 997,074 : x
  2. Step 2: Convert to fraction form
    670,800/997,074 = 997,074/x
  3. Step 3: Cross multiply
    670,800x = 997,074 × 997,074
  4. Step 4: Simplify right side
    670,800x = 994,156,561,476
  5. Step 5: Solve for x
    x = 994,156,561,476/670,800
  6. Step 6: Final answer
    x = 1,482,046.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.