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Finding the Third Proportional to 1,935,142 and 2,706,893

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Solution

The third proportional to 1,935,142 and 2,706,893 is: 3,786,424.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935,142 : 2,706,893 = 2,706,893 : x
  2. Step 2: Convert to fraction form
    1,935,142/2,706,893 = 2,706,893/x
  3. Step 3: Cross multiply
    1,935,142x = 2,706,893 × 2,706,893
  4. Step 4: Simplify right side
    1,935,142x = 7,327,269,713,449
  5. Step 5: Solve for x
    x = 7,327,269,713,449/1,935,142
  6. Step 6: Final answer
    x = 3,786,424.83

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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.