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Finding the Third Proportional to 4,204,432.50 and 6,492,976.50

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Solution

The third proportional to 4,204,432.50 and 6,492,976.50 is: 10,027,213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204,432.50 : 6,492,976.50 = 6,492,976.50 : x
  2. Step 2: Convert to fraction form
    4,204,432.50/6,492,976.50 = 6,492,976.50/x
  3. Step 3: Cross multiply
    4,204,432.50x = 6,492,976.50 × 6,492,976.50
  4. Step 4: Simplify right side
    4,204,432.50x = 42,158,743,829,552.25
  5. Step 5: Solve for x
    x = 42,158,743,829,552.25/4,204,432.50
  6. Step 6: Final answer
    x = 10,027,213.86

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.