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Finding the Third Proportional to 591,221 and 1,340,271

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Solution

The third proportional to 591,221 and 1,340,271 is: 3,038,333.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,221 : 1,340,271 = 1,340,271 : x
  2. Step 2: Convert to fraction form
    591,221/1,340,271 = 1,340,271/x
  3. Step 3: Cross multiply
    591,221x = 1,340,271 × 1,340,271
  4. Step 4: Simplify right side
    591,221x = 1,796,326,353,441
  5. Step 5: Solve for x
    x = 1,796,326,353,441/591,221
  6. Step 6: Final answer
    x = 3,038,333.13

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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.