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Finding the Third Proportional to 949,832 and 1,938,421

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Solution

The third proportional to 949,832 and 1,938,421 is: 3,955,937.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,832 : 1,938,421 = 1,938,421 : x
  2. Step 2: Convert to fraction form
    949,832/1,938,421 = 1,938,421/x
  3. Step 3: Cross multiply
    949,832x = 1,938,421 × 1,938,421
  4. Step 4: Simplify right side
    949,832x = 3,757,475,973,241
  5. Step 5: Solve for x
    x = 3,757,475,973,241/949,832
  6. Step 6: Final answer
    x = 3,955,937.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.