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Finding the Third Proportional to 2,963,262 and 4,486,206

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Solution

The third proportional to 2,963,262 and 4,486,206 is: 6,791,854.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963,262 : 4,486,206 = 4,486,206 : x
  2. Step 2: Convert to fraction form
    2,963,262/4,486,206 = 4,486,206/x
  3. Step 3: Cross multiply
    2,963,262x = 4,486,206 × 4,486,206
  4. Step 4: Simplify right side
    2,963,262x = 20,126,044,274,436
  5. Step 5: Solve for x
    x = 20,126,044,274,436/2,963,262
  6. Step 6: Final answer
    x = 6,791,854.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.