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Finding the Third Proportional to 377,006 and 819,460

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Solution

The third proportional to 377,006 and 819,460 is: 1,781,177.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,006 : 819,460 = 819,460 : x
  2. Step 2: Convert to fraction form
    377,006/819,460 = 819,460/x
  3. Step 3: Cross multiply
    377,006x = 819,460 × 819,460
  4. Step 4: Simplify right side
    377,006x = 671,514,691,600
  5. Step 5: Solve for x
    x = 671,514,691,600/377,006
  6. Step 6: Final answer
    x = 1,781,177.73

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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.