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Finding the Third Proportional to 871,044 and 1,368,774

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Solution

The third proportional to 871,044 and 1,368,774 is: 2,150,915.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,044 : 1,368,774 = 1,368,774 : x
  2. Step 2: Convert to fraction form
    871,044/1,368,774 = 1,368,774/x
  3. Step 3: Cross multiply
    871,044x = 1,368,774 × 1,368,774
  4. Step 4: Simplify right side
    871,044x = 1,873,542,263,076
  5. Step 5: Solve for x
    x = 1,873,542,263,076/871,044
  6. Step 6: Final answer
    x = 2,150,915.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.