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Finding the Third Proportional to 1,311,077 and 2,852,882

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Solution

The third proportional to 1,311,077 and 2,852,882 is: 6,207,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311,077 : 2,852,882 = 2,852,882 : x
  2. Step 2: Convert to fraction form
    1,311,077/2,852,882 = 2,852,882/x
  3. Step 3: Cross multiply
    1,311,077x = 2,852,882 × 2,852,882
  4. Step 4: Simplify right side
    1,311,077x = 8,138,935,705,924
  5. Step 5: Solve for x
    x = 8,138,935,705,924/1,311,077
  6. Step 6: Final answer
    x = 6,207,824.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.