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Finding the Third Proportional to 934,098 and 1,449,339

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Solution

The third proportional to 934,098 and 1,449,339 is: 2,248,782.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,098 : 1,449,339 = 1,449,339 : x
  2. Step 2: Convert to fraction form
    934,098/1,449,339 = 1,449,339/x
  3. Step 3: Cross multiply
    934,098x = 1,449,339 × 1,449,339
  4. Step 4: Simplify right side
    934,098x = 2,100,583,536,921
  5. Step 5: Solve for x
    x = 2,100,583,536,921/934,098
  6. Step 6: Final answer
    x = 2,248,782.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.