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Finding the Third Proportional to 791,401 and 1,866,313

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Solution

The third proportional to 791,401 and 1,866,313 is: 4,401,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,401 : 1,866,313 = 1,866,313 : x
  2. Step 2: Convert to fraction form
    791,401/1,866,313 = 1,866,313/x
  3. Step 3: Cross multiply
    791,401x = 1,866,313 × 1,866,313
  4. Step 4: Simplify right side
    791,401x = 3,483,124,213,969
  5. Step 5: Solve for x
    x = 3,483,124,213,969/791,401
  6. Step 6: Final answer
    x = 4,401,212.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.