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Finding the Third Proportional to 840,339 and 1,843,938

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Solution

The third proportional to 840,339 and 1,843,938 is: 4,046,113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,339 : 1,843,938 = 1,843,938 : x
  2. Step 2: Convert to fraction form
    840,339/1,843,938 = 1,843,938/x
  3. Step 3: Cross multiply
    840,339x = 1,843,938 × 1,843,938
  4. Step 4: Simplify right side
    840,339x = 3,400,107,347,844
  5. Step 5: Solve for x
    x = 3,400,107,347,844/840,339
  6. Step 6: Final answer
    x = 4,046,113.95

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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.