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Finding the Third Proportional to 858,827.25 and 1,865,641.50

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Solution

The third proportional to 858,827.25 and 1,865,641.50 is: 4,052,757.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,827.25 : 1,865,641.50 = 1,865,641.50 : x
  2. Step 2: Convert to fraction form
    858,827.25/1,865,641.50 = 1,865,641.50/x
  3. Step 3: Cross multiply
    858,827.25x = 1,865,641.50 × 1,865,641.50
  4. Step 4: Simplify right side
    858,827.25x = 3,480,618,206,522.25
  5. Step 5: Solve for x
    x = 3,480,618,206,522.25/858,827.25
  6. Step 6: Final answer
    x = 4,052,757.07

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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.