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Finding the Third Proportional to 746,982 and 1,073,817

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Solution

The third proportional to 746,982 and 1,073,817 is: 1,543,655.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,982 : 1,073,817 = 1,073,817 : x
  2. Step 2: Convert to fraction form
    746,982/1,073,817 = 1,073,817/x
  3. Step 3: Cross multiply
    746,982x = 1,073,817 × 1,073,817
  4. Step 4: Simplify right side
    746,982x = 1,153,082,949,489
  5. Step 5: Solve for x
    x = 1,153,082,949,489/746,982
  6. Step 6: Final answer
    x = 1,543,655.60

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.