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Finding the Third Proportional to 438,624 and 942,516

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Solution

The third proportional to 438,624 and 942,516 is: 2,025,279.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,624 : 942,516 = 942,516 : x
  2. Step 2: Convert to fraction form
    438,624/942,516 = 942,516/x
  3. Step 3: Cross multiply
    438,624x = 942,516 × 942,516
  4. Step 4: Simplify right side
    438,624x = 888,336,410,256
  5. Step 5: Solve for x
    x = 888,336,410,256/438,624
  6. Step 6: Final answer
    x = 2,025,279.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.