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Finding the Third Proportional to 814,812 and 1,754,442

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Solution

The third proportional to 814,812 and 1,754,442 is: 3,777,640.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,812 : 1,754,442 = 1,754,442 : x
  2. Step 2: Convert to fraction form
    814,812/1,754,442 = 1,754,442/x
  3. Step 3: Cross multiply
    814,812x = 1,754,442 × 1,754,442
  4. Step 4: Simplify right side
    814,812x = 3,078,066,731,364
  5. Step 5: Solve for x
    x = 3,078,066,731,364/814,812
  6. Step 6: Final answer
    x = 3,777,640.40

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.