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Finding the Third Proportional to 1,205,494.05 and 2,578,767.73

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Solution

The third proportional to 1,205,494.05 and 2,578,767.73 is: 5,516,446.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,494.05 : 2,578,767.73 = 2,578,767.73 : x
  2. Step 2: Convert to fraction form
    1,205,494.05/2,578,767.73 = 2,578,767.73/x
  3. Step 3: Cross multiply
    1,205,494.05x = 2,578,767.73 × 2,578,767.73
  4. Step 4: Simplify right side
    1,205,494.05x = 6,650,043,017,779.87
  5. Step 5: Solve for x
    x = 6,650,043,017,779.87/1,205,494.05
  6. Step 6: Final answer
    x = 5,516,446.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.