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Finding the Third Proportional to 670,810 and 997,085

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Solution

The third proportional to 670,810 and 997,085 is: 1,482,056.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,810 : 997,085 = 997,085 : x
  2. Step 2: Convert to fraction form
    670,810/997,085 = 997,085/x
  3. Step 3: Cross multiply
    670,810x = 997,085 × 997,085
  4. Step 4: Simplify right side
    670,810x = 994,178,497,225
  5. Step 5: Solve for x
    x = 994,178,497,225/670,810
  6. Step 6: Final answer
    x = 1,482,056.76

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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.