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Finding the Third Proportional to 813,082 and 1,190,463

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Solution

The third proportional to 813,082 and 1,190,463 is: 1,743,000.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,082 : 1,190,463 = 1,190,463 : x
  2. Step 2: Convert to fraction form
    813,082/1,190,463 = 1,190,463/x
  3. Step 3: Cross multiply
    813,082x = 1,190,463 × 1,190,463
  4. Step 4: Simplify right side
    813,082x = 1,417,202,154,369
  5. Step 5: Solve for x
    x = 1,417,202,154,369/813,082
  6. Step 6: Final answer
    x = 1,743,000.28

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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.