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Finding the Third Proportional to 1,327,807.69 and 2,910,947.63

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Solution

The third proportional to 1,327,807.69 and 2,910,947.63 is: 6,381,659.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327,807.69 : 2,910,947.63 = 2,910,947.63 : x
  2. Step 2: Convert to fraction form
    1,327,807.69/2,910,947.63 = 2,910,947.63/x
  3. Step 3: Cross multiply
    1,327,807.69x = 2,910,947.63 × 2,910,947.63
  4. Step 4: Simplify right side
    1,327,807.69x = 8,473,616,075,493.14
  5. Step 5: Solve for x
    x = 8,473,616,075,493.14/1,327,807.69
  6. Step 6: Final answer
    x = 6,381,659.15

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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.