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Finding the Third Proportional to 1,159,542 and 2,604,096

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Solution

The third proportional to 1,159,542 and 2,604,096 is: 5,848,271.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,542 : 2,604,096 = 2,604,096 : x
  2. Step 2: Convert to fraction form
    1,159,542/2,604,096 = 2,604,096/x
  3. Step 3: Cross multiply
    1,159,542x = 2,604,096 × 2,604,096
  4. Step 4: Simplify right side
    1,159,542x = 6,781,315,977,216
  5. Step 5: Solve for x
    x = 6,781,315,977,216/1,159,542
  6. Step 6: Final answer
    x = 5,848,271.11

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.