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Finding the Third Proportional to 701,181 and 1,535,040

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Solution

The third proportional to 701,181 and 1,535,040 is: 3,360,541.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,181 : 1,535,040 = 1,535,040 : x
  2. Step 2: Convert to fraction form
    701,181/1,535,040 = 1,535,040/x
  3. Step 3: Cross multiply
    701,181x = 1,535,040 × 1,535,040
  4. Step 4: Simplify right side
    701,181x = 2,356,347,801,600
  5. Step 5: Solve for x
    x = 2,356,347,801,600/701,181
  6. Step 6: Final answer
    x = 3,360,541.43

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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.