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Finding the Third Proportional to 2,821,882 and 4,258,263

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Solution

The third proportional to 2,821,882 and 4,258,263 is: 6,425,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821,882 : 4,258,263 = 4,258,263 : x
  2. Step 2: Convert to fraction form
    2,821,882/4,258,263 = 4,258,263/x
  3. Step 3: Cross multiply
    2,821,882x = 4,258,263 × 4,258,263
  4. Step 4: Simplify right side
    2,821,882x = 18,132,803,777,169
  5. Step 5: Solve for x
    x = 18,132,803,777,169/2,821,882
  6. Step 6: Final answer
    x = 6,425,783.85

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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.