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Finding the Third Proportional to 1,390,770 and 2,105,649

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Solution

The third proportional to 1,390,770 and 2,105,649 is: 3,187,987.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390,770 : 2,105,649 = 2,105,649 : x
  2. Step 2: Convert to fraction form
    1,390,770/2,105,649 = 2,105,649/x
  3. Step 3: Cross multiply
    1,390,770x = 2,105,649 × 2,105,649
  4. Step 4: Simplify right side
    1,390,770x = 4,433,757,711,201
  5. Step 5: Solve for x
    x = 4,433,757,711,201/1,390,770
  6. Step 6: Final answer
    x = 3,187,987.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.