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Finding the Third Proportional to 1,205,283 and 1,823,477

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Solution

The third proportional to 1,205,283 and 1,823,477 is: 2,758,744.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,283 : 1,823,477 = 1,823,477 : x
  2. Step 2: Convert to fraction form
    1,205,283/1,823,477 = 1,823,477/x
  3. Step 3: Cross multiply
    1,205,283x = 1,823,477 × 1,823,477
  4. Step 4: Simplify right side
    1,205,283x = 3,325,068,369,529
  5. Step 5: Solve for x
    x = 3,325,068,369,529/1,205,283
  6. Step 6: Final answer
    x = 2,758,744.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.