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Finding the Third Proportional to 813,084 and 1,190,466

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Solution

The third proportional to 813,084 and 1,190,466 is: 1,743,004.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,084 : 1,190,466 = 1,190,466 : x
  2. Step 2: Convert to fraction form
    813,084/1,190,466 = 1,190,466/x
  3. Step 3: Cross multiply
    813,084x = 1,190,466 × 1,190,466
  4. Step 4: Simplify right side
    813,084x = 1,417,209,297,156
  5. Step 5: Solve for x
    x = 1,417,209,297,156/813,084
  6. Step 6: Final answer
    x = 1,743,004.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.