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Finding the Third Proportional to 857,220 and 1,866,832

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Solution

The third proportional to 857,220 and 1,866,832 is: 4,065,539.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,220 : 1,866,832 = 1,866,832 : x
  2. Step 2: Convert to fraction form
    857,220/1,866,832 = 1,866,832/x
  3. Step 3: Cross multiply
    857,220x = 1,866,832 × 1,866,832
  4. Step 4: Simplify right side
    857,220x = 3,485,061,716,224
  5. Step 5: Solve for x
    x = 3,485,061,716,224/857,220
  6. Step 6: Final answer
    x = 4,065,539.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.