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Finding the Third Proportional to 834,915 and 1,827,366

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Solution

The third proportional to 834,915 and 1,827,366 is: 3,999,528.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,915 : 1,827,366 = 1,827,366 : x
  2. Step 2: Convert to fraction form
    834,915/1,827,366 = 1,827,366/x
  3. Step 3: Cross multiply
    834,915x = 1,827,366 × 1,827,366
  4. Step 4: Simplify right side
    834,915x = 3,339,266,497,956
  5. Step 5: Solve for x
    x = 3,339,266,497,956/834,915
  6. Step 6: Final answer
    x = 3,999,528.69

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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.