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Finding the Third Proportional to 791,400 and 1,866,310

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Solution

The third proportional to 791,400 and 1,866,310 is: 4,401,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,400 : 1,866,310 = 1,866,310 : x
  2. Step 2: Convert to fraction form
    791,400/1,866,310 = 1,866,310/x
  3. Step 3: Cross multiply
    791,400x = 1,866,310 × 1,866,310
  4. Step 4: Simplify right side
    791,400x = 3,483,113,016,100
  5. Step 5: Solve for x
    x = 3,483,113,016,100/791,400
  6. Step 6: Final answer
    x = 4,401,204.22

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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.