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Finding the Third Proportional to 1,051,542.91 and 2,282,550.12

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Solution

The third proportional to 1,051,542.91 and 2,282,550.12 is: 4,954,657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,542.91 : 2,282,550.12 = 2,282,550.12 : x
  2. Step 2: Convert to fraction form
    1,051,542.91/2,282,550.12 = 2,282,550.12/x
  3. Step 3: Cross multiply
    1,051,542.91x = 2,282,550.12 × 2,282,550.12
  4. Step 4: Simplify right side
    1,051,542.91x = 5,210,035,037,472.67
  5. Step 5: Solve for x
    x = 5,210,035,037,472.67/1,051,542.91
  6. Step 6: Final answer
    x = 4,954,657.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.