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Finding the Third Proportional to 1,157,774 and 2,468,476

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Solution

The third proportional to 1,157,774 and 2,468,476 is: 5,263,007.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,774 : 2,468,476 = 2,468,476 : x
  2. Step 2: Convert to fraction form
    1,157,774/2,468,476 = 2,468,476/x
  3. Step 3: Cross multiply
    1,157,774x = 2,468,476 × 2,468,476
  4. Step 4: Simplify right side
    1,157,774x = 6,093,373,762,576
  5. Step 5: Solve for x
    x = 6,093,373,762,576/1,157,774
  6. Step 6: Final answer
    x = 5,263,007.95

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.