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Finding the Third Proportional to 2,078,389 and 4,466,197

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Solution

The third proportional to 2,078,389 and 4,466,197 is: 9,597,296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078,389 : 4,466,197 = 4,466,197 : x
  2. Step 2: Convert to fraction form
    2,078,389/4,466,197 = 4,466,197/x
  3. Step 3: Cross multiply
    2,078,389x = 4,466,197 × 4,466,197
  4. Step 4: Simplify right side
    2,078,389x = 19,946,915,642,809
  5. Step 5: Solve for x
    x = 19,946,915,642,809/2,078,389
  6. Step 6: Final answer
    x = 9,597,296.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.