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Finding the Third Proportional to 489,766.50 and 1,038,217.50

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Solution

The third proportional to 489,766.50 and 1,038,217.50 is: 2,200,835.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,766.50 : 1,038,217.50 = 1,038,217.50 : x
  2. Step 2: Convert to fraction form
    489,766.50/1,038,217.50 = 1,038,217.50/x
  3. Step 3: Cross multiply
    489,766.50x = 1,038,217.50 × 1,038,217.50
  4. Step 4: Simplify right side
    489,766.50x = 1,077,895,577,306.25
  5. Step 5: Solve for x
    x = 1,077,895,577,306.25/489,766.50
  6. Step 6: Final answer
    x = 2,200,835.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.