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Finding the Third Proportional to 740,057 and 1,617,074

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Solution

The third proportional to 740,057 and 1,617,074 is: 3,533,414.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,057 : 1,617,074 = 1,617,074 : x
  2. Step 2: Convert to fraction form
    740,057/1,617,074 = 1,617,074/x
  3. Step 3: Cross multiply
    740,057x = 1,617,074 × 1,617,074
  4. Step 4: Simplify right side
    740,057x = 2,614,928,321,476
  5. Step 5: Solve for x
    x = 2,614,928,321,476/740,057
  6. Step 6: Final answer
    x = 3,533,414.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.