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Finding the Third Proportional to 1,052,832.94 and 2,155,465.69

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Solution

The third proportional to 1,052,832.94 and 2,155,465.69 is: 4,412,886.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052,832.94 : 2,155,465.69 = 2,155,465.69 : x
  2. Step 2: Convert to fraction form
    1,052,832.94/2,155,465.69 = 2,155,465.69/x
  3. Step 3: Cross multiply
    1,052,832.94x = 2,155,465.69 × 2,155,465.69
  4. Step 4: Simplify right side
    1,052,832.94x = 4,646,032,329,989.85
  5. Step 5: Solve for x
    x = 4,646,032,329,989.85/1,052,832.94
  6. Step 6: Final answer
    x = 4,412,886.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.