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Finding the Third Proportional to 583,380 and 1,266,349

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Solution

The third proportional to 583,380 and 1,266,349 is: 2,748,876.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,380 : 1,266,349 = 1,266,349 : x
  2. Step 2: Convert to fraction form
    583,380/1,266,349 = 1,266,349/x
  3. Step 3: Cross multiply
    583,380x = 1,266,349 × 1,266,349
  4. Step 4: Simplify right side
    583,380x = 1,603,639,789,801
  5. Step 5: Solve for x
    x = 1,603,639,789,801/583,380
  6. Step 6: Final answer
    x = 2,748,876.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.