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Finding the Third Proportional to 377,010 and 819,468

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Solution

The third proportional to 377,010 and 819,468 is: 1,781,193.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,010 : 819,468 = 819,468 : x
  2. Step 2: Convert to fraction form
    377,010/819,468 = 819,468/x
  3. Step 3: Cross multiply
    377,010x = 819,468 × 819,468
  4. Step 4: Simplify right side
    377,010x = 671,527,803,024
  5. Step 5: Solve for x
    x = 671,527,803,024/377,010
  6. Step 6: Final answer
    x = 1,781,193.61

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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.