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Finding the Third Proportional to 467,412.19 and 1,032,913.69

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Solution

The third proportional to 467,412.19 and 1,032,913.69 is: 2,282,590.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,412.19 : 1,032,913.69 = 1,032,913.69 : x
  2. Step 2: Convert to fraction form
    467,412.19/1,032,913.69 = 1,032,913.69/x
  3. Step 3: Cross multiply
    467,412.19x = 1,032,913.69 × 1,032,913.69
  4. Step 4: Simplify right side
    467,412.19x = 1,066,910,685,824.85
  5. Step 5: Solve for x
    x = 1,066,910,685,824.85/467,412.19
  6. Step 6: Final answer
    x = 2,282,590.64

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.