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Finding the Third Proportional to 644,179 and 946,584

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Solution

The third proportional to 644,179 and 946,584 is: 1,390,950.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,179 : 946,584 = 946,584 : x
  2. Step 2: Convert to fraction form
    644,179/946,584 = 946,584/x
  3. Step 3: Cross multiply
    644,179x = 946,584 × 946,584
  4. Step 4: Simplify right side
    644,179x = 896,021,269,056
  5. Step 5: Solve for x
    x = 896,021,269,056/644,179
  6. Step 6: Final answer
    x = 1,390,950.76

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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.