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Finding the Third Proportional to 633,290 and 946,774

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Solution

The third proportional to 633,290 and 946,774 is: 1,415,435.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,290 : 946,774 = 946,774 : x
  2. Step 2: Convert to fraction form
    633,290/946,774 = 946,774/x
  3. Step 3: Cross multiply
    633,290x = 946,774 × 946,774
  4. Step 4: Simplify right side
    633,290x = 896,381,007,076
  5. Step 5: Solve for x
    x = 896,381,007,076/633,290
  6. Step 6: Final answer
    x = 1,415,435.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.