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Finding the Third Proportional to 591,222 and 1,340,274

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Solution

The third proportional to 591,222 and 1,340,274 is: 3,038,341.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,222 : 1,340,274 = 1,340,274 : x
  2. Step 2: Convert to fraction form
    591,222/1,340,274 = 1,340,274/x
  3. Step 3: Cross multiply
    591,222x = 1,340,274 × 1,340,274
  4. Step 4: Simplify right side
    591,222x = 1,796,334,395,076
  5. Step 5: Solve for x
    x = 1,796,334,395,076/591,222
  6. Step 6: Final answer
    x = 3,038,341.60

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.