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Finding the Third Proportional to 437,942 and 944,248

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Solution

The third proportional to 437,942 and 944,248 is: 2,035,895.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,942 : 944,248 = 944,248 : x
  2. Step 2: Convert to fraction form
    437,942/944,248 = 944,248/x
  3. Step 3: Cross multiply
    437,942x = 944,248 × 944,248
  4. Step 4: Simplify right side
    437,942x = 891,604,285,504
  5. Step 5: Solve for x
    x = 891,604,285,504/437,942
  6. Step 6: Final answer
    x = 2,035,895.82

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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.