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Finding the Third Proportional to 1,752,441.75 and 3,766,653

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Solution

The third proportional to 1,752,441.75 and 3,766,653 is: 8,095,946.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752,441.75 : 3,766,653 = 3,766,653 : x
  2. Step 2: Convert to fraction form
    1,752,441.75/3,766,653 = 3,766,653/x
  3. Step 3: Cross multiply
    1,752,441.75x = 3,766,653 × 3,766,653
  4. Step 4: Simplify right side
    1,752,441.75x = 14,187,674,822,409
  5. Step 5: Solve for x
    x = 14,187,674,822,409/1,752,441.75
  6. Step 6: Final answer
    x = 8,095,946.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.