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Finding the Third Proportional to 1,935,138 and 2,706,887

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Solution

The third proportional to 1,935,138 and 2,706,887 is: 3,786,415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935,138 : 2,706,887 = 2,706,887 : x
  2. Step 2: Convert to fraction form
    1,935,138/2,706,887 = 2,706,887/x
  3. Step 3: Cross multiply
    1,935,138x = 2,706,887 × 2,706,887
  4. Step 4: Simplify right side
    1,935,138x = 7,327,237,230,769
  5. Step 5: Solve for x
    x = 7,327,237,230,769/1,935,138
  6. Step 6: Final answer
    x = 3,786,415.87

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.