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Finding the Third Proportional to 1,843,792.50 and 2,885,983.50

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Solution

The third proportional to 1,843,792.50 and 2,885,983.50 is: 4,517,265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843,792.50 : 2,885,983.50 = 2,885,983.50 : x
  2. Step 2: Convert to fraction form
    1,843,792.50/2,885,983.50 = 2,885,983.50/x
  3. Step 3: Cross multiply
    1,843,792.50x = 2,885,983.50 × 2,885,983.50
  4. Step 4: Simplify right side
    1,843,792.50x = 8,328,900,762,272.25
  5. Step 5: Solve for x
    x = 8,328,900,762,272.25/1,843,792.50
  6. Step 6: Final answer
    x = 4,517,265.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.