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Finding the Third Proportional to 2,042,428 and 2,862,096

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Solution

The third proportional to 2,042,428 and 2,862,096 is: 4,010,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042,428 : 2,862,096 = 2,862,096 : x
  2. Step 2: Convert to fraction form
    2,042,428/2,862,096 = 2,862,096/x
  3. Step 3: Cross multiply
    2,042,428x = 2,862,096 × 2,862,096
  4. Step 4: Simplify right side
    2,042,428x = 8,191,593,513,216
  5. Step 5: Solve for x
    x = 8,191,593,513,216/2,042,428
  6. Step 6: Final answer
    x = 4,010,713.48

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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.