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Finding the Third Proportional to 873,410 and 1,900,593

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Solution

The third proportional to 873,410 and 1,900,593 is: 4,135,805.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,410 : 1,900,593 = 1,900,593 : x
  2. Step 2: Convert to fraction form
    873,410/1,900,593 = 1,900,593/x
  3. Step 3: Cross multiply
    873,410x = 1,900,593 × 1,900,593
  4. Step 4: Simplify right side
    873,410x = 3,612,253,751,649
  5. Step 5: Solve for x
    x = 3,612,253,751,649/873,410
  6. Step 6: Final answer
    x = 4,135,805.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.