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Finding the Third Proportional to 644,007 and 946,314

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Solution

The third proportional to 644,007 and 946,314 is: 1,390,528.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,007 : 946,314 = 946,314 : x
  2. Step 2: Convert to fraction form
    644,007/946,314 = 946,314/x
  3. Step 3: Cross multiply
    644,007x = 946,314 × 946,314
  4. Step 4: Simplify right side
    644,007x = 895,510,186,596
  5. Step 5: Solve for x
    x = 895,510,186,596/644,007
  6. Step 6: Final answer
    x = 1,390,528.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.