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Finding the Third Proportional to 840,348 and 1,843,992

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Solution

The third proportional to 840,348 and 1,843,992 is: 4,046,307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,348 : 1,843,992 = 1,843,992 : x
  2. Step 2: Convert to fraction form
    840,348/1,843,992 = 1,843,992/x
  3. Step 3: Cross multiply
    840,348x = 1,843,992 × 1,843,992
  4. Step 4: Simplify right side
    840,348x = 3,400,306,496,064
  5. Step 5: Solve for x
    x = 3,400,306,496,064/840,348
  6. Step 6: Final answer
    x = 4,046,307.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.