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Finding the Third Proportional to 946,469 and 1,376,503

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Solution

The third proportional to 946,469 and 1,376,503 is: 2,001,925.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,469 : 1,376,503 = 1,376,503 : x
  2. Step 2: Convert to fraction form
    946,469/1,376,503 = 1,376,503/x
  3. Step 3: Cross multiply
    946,469x = 1,376,503 × 1,376,503
  4. Step 4: Simplify right side
    946,469x = 1,894,760,509,009
  5. Step 5: Solve for x
    x = 1,894,760,509,009/946,469
  6. Step 6: Final answer
    x = 2,001,925.59

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.