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Finding the Third Proportional to 670,808 and 997,086

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Solution

The third proportional to 670,808 and 997,086 is: 1,482,064.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,808 : 997,086 = 997,086 : x
  2. Step 2: Convert to fraction form
    670,808/997,086 = 997,086/x
  3. Step 3: Cross multiply
    670,808x = 997,086 × 997,086
  4. Step 4: Simplify right side
    670,808x = 994,180,491,396
  5. Step 5: Solve for x
    x = 994,180,491,396/670,808
  6. Step 6: Final answer
    x = 1,482,064.15

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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.