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Finding the Third Proportional to 2,425,540 and 3,638,004

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Solution

The third proportional to 2,425,540 and 3,638,004 is: 5,456,547.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425,540 : 3,638,004 = 3,638,004 : x
  2. Step 2: Convert to fraction form
    2,425,540/3,638,004 = 3,638,004/x
  3. Step 3: Cross multiply
    2,425,540x = 3,638,004 × 3,638,004
  4. Step 4: Simplify right side
    2,425,540x = 13,235,073,104,016
  5. Step 5: Solve for x
    x = 13,235,073,104,016/2,425,540
  6. Step 6: Final answer
    x = 5,456,547.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.