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Finding the Third Proportional to 935,923 and 1,421,381

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Solution

The third proportional to 935,923 and 1,421,381 is: 2,158,643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,923 : 1,421,381 = 1,421,381 : x
  2. Step 2: Convert to fraction form
    935,923/1,421,381 = 1,421,381/x
  3. Step 3: Cross multiply
    935,923x = 1,421,381 × 1,421,381
  4. Step 4: Simplify right side
    935,923x = 2,020,323,947,161
  5. Step 5: Solve for x
    x = 2,020,323,947,161/935,923
  6. Step 6: Final answer
    x = 2,158,643.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.