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Finding the Third Proportional to 468,778.50 and 1,010,565

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Solution

The third proportional to 468,778.50 and 1,010,565 is: 2,178,516.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,778.50 : 1,010,565 = 1,010,565 : x
  2. Step 2: Convert to fraction form
    468,778.50/1,010,565 = 1,010,565/x
  3. Step 3: Cross multiply
    468,778.50x = 1,010,565 × 1,010,565
  4. Step 4: Simplify right side
    468,778.50x = 1,021,241,619,225
  5. Step 5: Solve for x
    x = 1,021,241,619,225/468,778.50
  6. Step 6: Final answer
    x = 2,178,516.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.