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Finding the Third Proportional to 2,042,392 and 2,862,042

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Solution

The third proportional to 2,042,392 and 2,862,042 is: 4,010,632.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042,392 : 2,862,042 = 2,862,042 : x
  2. Step 2: Convert to fraction form
    2,042,392/2,862,042 = 2,862,042/x
  3. Step 3: Cross multiply
    2,042,392x = 2,862,042 × 2,862,042
  4. Step 4: Simplify right side
    2,042,392x = 8,191,284,409,764
  5. Step 5: Solve for x
    x = 8,191,284,409,764/2,042,392
  6. Step 6: Final answer
    x = 4,010,632.83

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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.