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Finding the Third Proportional to 671,664 and 1,419,139

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Solution

The third proportional to 671,664 and 1,419,139 is: 2,998,456.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,664 : 1,419,139 = 1,419,139 : x
  2. Step 2: Convert to fraction form
    671,664/1,419,139 = 1,419,139/x
  3. Step 3: Cross multiply
    671,664x = 1,419,139 × 1,419,139
  4. Step 4: Simplify right side
    671,664x = 2,013,955,501,321
  5. Step 5: Solve for x
    x = 2,013,955,501,321/671,664
  6. Step 6: Final answer
    x = 2,998,456.82

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