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Finding the Third Proportional to 402,248 and 884,848

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Solution

The third proportional to 402,248 and 884,848 is: 1,946,450.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,248 : 884,848 = 884,848 : x
  2. Step 2: Convert to fraction form
    402,248/884,848 = 884,848/x
  3. Step 3: Cross multiply
    402,248x = 884,848 × 884,848
  4. Step 4: Simplify right side
    402,248x = 782,955,983,104
  5. Step 5: Solve for x
    x = 782,955,983,104/402,248
  6. Step 6: Final answer
    x = 1,946,450.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.