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Finding the Third Proportional to 1,282,295 and 2,736,211

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Solution

The third proportional to 1,282,295 and 2,736,211 is: 5,838,633.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282,295 : 2,736,211 = 2,736,211 : x
  2. Step 2: Convert to fraction form
    1,282,295/2,736,211 = 2,736,211/x
  3. Step 3: Cross multiply
    1,282,295x = 2,736,211 × 2,736,211
  4. Step 4: Simplify right side
    1,282,295x = 7,486,850,636,521
  5. Step 5: Solve for x
    x = 7,486,850,636,521/1,282,295
  6. Step 6: Final answer
    x = 5,838,633.57

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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.