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Finding the Third Proportional to 1,197,840 and 1,794,915

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Solution

The third proportional to 1,197,840 and 1,794,915 is: 2,689,607.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,840 : 1,794,915 = 1,794,915 : x
  2. Step 2: Convert to fraction form
    1,197,840/1,794,915 = 1,794,915/x
  3. Step 3: Cross multiply
    1,197,840x = 1,794,915 × 1,794,915
  4. Step 4: Simplify right side
    1,197,840x = 3,221,719,857,225
  5. Step 5: Solve for x
    x = 3,221,719,857,225/1,197,840
  6. Step 6: Final answer
    x = 2,689,607.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.