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Finding the Third Proportional to 463,768 and 1,073,700

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Solution

The third proportional to 463,768 and 1,073,700 is: 2,485,793.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,768 : 1,073,700 = 1,073,700 : x
  2. Step 2: Convert to fraction form
    463,768/1,073,700 = 1,073,700/x
  3. Step 3: Cross multiply
    463,768x = 1,073,700 × 1,073,700
  4. Step 4: Simplify right side
    463,768x = 1,152,831,690,000
  5. Step 5: Solve for x
    x = 1,152,831,690,000/463,768
  6. Step 6: Final answer
    x = 2,485,793.95

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.