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Finding the Third Proportional to 1,277,165 and 1,963,677

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Solution

The third proportional to 1,277,165 and 1,963,677 is: 3,019,208.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,165 : 1,963,677 = 1,963,677 : x
  2. Step 2: Convert to fraction form
    1,277,165/1,963,677 = 1,963,677/x
  3. Step 3: Cross multiply
    1,277,165x = 1,963,677 × 1,963,677
  4. Step 4: Simplify right side
    1,277,165x = 3,856,027,360,329
  5. Step 5: Solve for x
    x = 3,856,027,360,329/1,277,165
  6. Step 6: Final answer
    x = 3,019,208.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.