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Finding the Third Proportional to 1,282,297 and 2,736,214

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Solution

The third proportional to 1,282,297 and 2,736,214 is: 5,838,637.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282,297 : 2,736,214 = 2,736,214 : x
  2. Step 2: Convert to fraction form
    1,282,297/2,736,214 = 2,736,214/x
  3. Step 3: Cross multiply
    1,282,297x = 2,736,214 × 2,736,214
  4. Step 4: Simplify right side
    1,282,297x = 7,486,867,053,796
  5. Step 5: Solve for x
    x = 7,486,867,053,796/1,282,297
  6. Step 6: Final answer
    x = 5,838,637.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.