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Finding the Third Proportional to 873,413 and 1,900,599

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Solution

The third proportional to 873,413 and 1,900,599 is: 4,135,817.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,413 : 1,900,599 = 1,900,599 : x
  2. Step 2: Convert to fraction form
    873,413/1,900,599 = 1,900,599/x
  3. Step 3: Cross multiply
    873,413x = 1,900,599 × 1,900,599
  4. Step 4: Simplify right side
    873,413x = 3,612,276,558,801
  5. Step 5: Solve for x
    x = 3,612,276,558,801/873,413
  6. Step 6: Final answer
    x = 4,135,817.26

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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.