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Finding the Third Proportional to 1,143,826 and 2,258,942

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Solution

The third proportional to 1,143,826 and 2,258,942 is: 4,461,184.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,826 : 2,258,942 = 2,258,942 : x
  2. Step 2: Convert to fraction form
    1,143,826/2,258,942 = 2,258,942/x
  3. Step 3: Cross multiply
    1,143,826x = 2,258,942 × 2,258,942
  4. Step 4: Simplify right side
    1,143,826x = 5,102,818,959,364
  5. Step 5: Solve for x
    x = 5,102,818,959,364/1,143,826
  6. Step 6: Final answer
    x = 4,461,184.62

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.