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Finding the Third Proportional to 671,776 and 1,419,384

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Solution

The third proportional to 671,776 and 1,419,384 is: 2,998,992.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,776 : 1,419,384 = 1,419,384 : x
  2. Step 2: Convert to fraction form
    671,776/1,419,384 = 1,419,384/x
  3. Step 3: Cross multiply
    671,776x = 1,419,384 × 1,419,384
  4. Step 4: Simplify right side
    671,776x = 2,014,650,939,456
  5. Step 5: Solve for x
    x = 2,014,650,939,456/671,776
  6. Step 6: Final answer
    x = 2,998,992.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.