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Finding the Third Proportional to 927,221 and 1,987,516

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Solution

The third proportional to 927,221 and 1,987,516 is: 4,260,278.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,221 : 1,987,516 = 1,987,516 : x
  2. Step 2: Convert to fraction form
    927,221/1,987,516 = 1,987,516/x
  3. Step 3: Cross multiply
    927,221x = 1,987,516 × 1,987,516
  4. Step 4: Simplify right side
    927,221x = 3,950,219,850,256
  5. Step 5: Solve for x
    x = 3,950,219,850,256/927,221
  6. Step 6: Final answer
    x = 4,260,278.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.