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Finding the Third Proportional to 1,226,823 and 1,862,307

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Solution

The third proportional to 1,226,823 and 1,862,307 is: 2,826,966.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226,823 : 1,862,307 = 1,862,307 : x
  2. Step 2: Convert to fraction form
    1,226,823/1,862,307 = 1,862,307/x
  3. Step 3: Cross multiply
    1,226,823x = 1,862,307 × 1,862,307
  4. Step 4: Simplify right side
    1,226,823x = 3,468,187,362,249
  5. Step 5: Solve for x
    x = 3,468,187,362,249/1,226,823
  6. Step 6: Final answer
    x = 2,826,966.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.