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Finding the Third Proportional to 421,248 and 927,888

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Solution

The third proportional to 421,248 and 927,888 is: 2,043,869.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,248 : 927,888 = 927,888 : x
  2. Step 2: Convert to fraction form
    421,248/927,888 = 927,888/x
  3. Step 3: Cross multiply
    421,248x = 927,888 × 927,888
  4. Step 4: Simplify right side
    421,248x = 860,976,140,544
  5. Step 5: Solve for x
    x = 860,976,140,544/421,248
  6. Step 6: Final answer
    x = 2,043,869.98

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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.