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Finding the Third Proportional to 644,276 and 946,731

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Solution

The third proportional to 644,276 and 946,731 is: 1,391,173.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,276 : 946,731 = 946,731 : x
  2. Step 2: Convert to fraction form
    644,276/946,731 = 946,731/x
  3. Step 3: Cross multiply
    644,276x = 946,731 × 946,731
  4. Step 4: Simplify right side
    644,276x = 896,299,586,361
  5. Step 5: Solve for x
    x = 896,299,586,361/644,276
  6. Step 6: Final answer
    x = 1,391,173.33

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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.