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Finding the Third Proportional to 857,114 and 1,843,220

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Solution

The third proportional to 857,114 and 1,843,220 is: 3,963,836.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,114 : 1,843,220 = 1,843,220 : x
  2. Step 2: Convert to fraction form
    857,114/1,843,220 = 1,843,220/x
  3. Step 3: Cross multiply
    857,114x = 1,843,220 × 1,843,220
  4. Step 4: Simplify right side
    857,114x = 3,397,459,968,400
  5. Step 5: Solve for x
    x = 3,397,459,968,400/857,114
  6. Step 6: Final answer
    x = 3,963,836.75

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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.