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Finding the Third Proportional to 553,128.75 and 1,206,790.50

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Solution

The third proportional to 553,128.75 and 1,206,790.50 is: 2,632,919.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,128.75 : 1,206,790.50 = 1,206,790.50 : x
  2. Step 2: Convert to fraction form
    553,128.75/1,206,790.50 = 1,206,790.50/x
  3. Step 3: Cross multiply
    553,128.75x = 1,206,790.50 × 1,206,790.50
  4. Step 4: Simplify right side
    553,128.75x = 1,456,343,310,890.25
  5. Step 5: Solve for x
    x = 1,456,343,310,890.25/553,128.75
  6. Step 6: Final answer
    x = 2,632,919.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.