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Finding the Third Proportional to 1,178,868 and 2,573,616

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Solution

The third proportional to 1,178,868 and 2,573,616 is: 5,618,524.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,868 : 2,573,616 = 2,573,616 : x
  2. Step 2: Convert to fraction form
    1,178,868/2,573,616 = 2,573,616/x
  3. Step 3: Cross multiply
    1,178,868x = 2,573,616 × 2,573,616
  4. Step 4: Simplify right side
    1,178,868x = 6,623,499,315,456
  5. Step 5: Solve for x
    x = 6,623,499,315,456/1,178,868
  6. Step 6: Final answer
    x = 5,618,524.99

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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.