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Finding the Third Proportional to 1,277,269 and 2,128,691

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Solution

The third proportional to 1,277,269 and 2,128,691 is: 3,547,667.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,269 : 2,128,691 = 2,128,691 : x
  2. Step 2: Convert to fraction form
    1,277,269/2,128,691 = 2,128,691/x
  3. Step 3: Cross multiply
    1,277,269x = 2,128,691 × 2,128,691
  4. Step 4: Simplify right side
    1,277,269x = 4,531,325,373,481
  5. Step 5: Solve for x
    x = 4,531,325,373,481/1,277,269
  6. Step 6: Final answer
    x = 3,547,667.23

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.