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Finding the Third Proportional to 857,266 and 1,843,565

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Solution

The third proportional to 857,266 and 1,843,565 is: 3,964,617.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,266 : 1,843,565 = 1,843,565 : x
  2. Step 2: Convert to fraction form
    857,266/1,843,565 = 1,843,565/x
  3. Step 3: Cross multiply
    857,266x = 1,843,565 × 1,843,565
  4. Step 4: Simplify right side
    857,266x = 3,398,731,909,225
  5. Step 5: Solve for x
    x = 3,398,731,909,225/857,266
  6. Step 6: Final answer
    x = 3,964,617.64

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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.