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Finding the Third Proportional to 769,040 and 1,656,410

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Solution

The third proportional to 769,040 and 1,656,410 is: 3,567,687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,040 : 1,656,410 = 1,656,410 : x
  2. Step 2: Convert to fraction form
    769,040/1,656,410 = 1,656,410/x
  3. Step 3: Cross multiply
    769,040x = 1,656,410 × 1,656,410
  4. Step 4: Simplify right side
    769,040x = 2,743,694,088,100
  5. Step 5: Solve for x
    x = 2,743,694,088,100/769,040
  6. Step 6: Final answer
    x = 3,567,687.10

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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.