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Finding the Third Proportional to 656,779 and 1,414,875

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Solution

The third proportional to 656,779 and 1,414,875 is: 3,048,013.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,779 : 1,414,875 = 1,414,875 : x
  2. Step 2: Convert to fraction form
    656,779/1,414,875 = 1,414,875/x
  3. Step 3: Cross multiply
    656,779x = 1,414,875 × 1,414,875
  4. Step 4: Simplify right side
    656,779x = 2,001,871,265,625
  5. Step 5: Solve for x
    x = 2,001,871,265,625/656,779
  6. Step 6: Final answer
    x = 3,048,013.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.