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Finding the Third Proportional to 437,924 and 944,232

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Solution

The third proportional to 437,924 and 944,232 is: 2,035,910.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,924 : 944,232 = 944,232 : x
  2. Step 2: Convert to fraction form
    437,924/944,232 = 944,232/x
  3. Step 3: Cross multiply
    437,924x = 944,232 × 944,232
  4. Step 4: Simplify right side
    437,924x = 891,574,069,824
  5. Step 5: Solve for x
    x = 891,574,069,824/437,924
  6. Step 6: Final answer
    x = 2,035,910.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.