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Finding the Third Proportional to 1,309,995 and 2,864,377

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Solution

The third proportional to 1,309,995 and 2,864,377 is: 6,263,119.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,995 : 2,864,377 = 2,864,377 : x
  2. Step 2: Convert to fraction form
    1,309,995/2,864,377 = 2,864,377/x
  3. Step 3: Cross multiply
    1,309,995x = 2,864,377 × 2,864,377
  4. Step 4: Simplify right side
    1,309,995x = 8,204,655,598,129
  5. Step 5: Solve for x
    x = 8,204,655,598,129/1,309,995
  6. Step 6: Final answer
    x = 6,263,119.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.