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Finding the Third Proportional to 1,823,429 and 3,967,942

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Solution

The third proportional to 1,823,429 and 3,967,942 is: 8,634,591.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823,429 : 3,967,942 = 3,967,942 : x
  2. Step 2: Convert to fraction form
    1,823,429/3,967,942 = 3,967,942/x
  3. Step 3: Cross multiply
    1,823,429x = 3,967,942 × 3,967,942
  4. Step 4: Simplify right side
    1,823,429x = 15,744,563,715,364
  5. Step 5: Solve for x
    x = 15,744,563,715,364/1,823,429
  6. Step 6: Final answer
    x = 8,634,591.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.