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Finding the Third Proportional to 857,117 and 1,843,226

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Solution

The third proportional to 857,117 and 1,843,226 is: 3,963,848.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,117 : 1,843,226 = 1,843,226 : x
  2. Step 2: Convert to fraction form
    857,117/1,843,226 = 1,843,226/x
  3. Step 3: Cross multiply
    857,117x = 1,843,226 × 1,843,226
  4. Step 4: Simplify right side
    857,117x = 3,397,482,087,076
  5. Step 5: Solve for x
    x = 3,397,482,087,076/857,117
  6. Step 6: Final answer
    x = 3,963,848.68

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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.