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Finding the Third Proportional to 644,001 and 946,310

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Solution

The third proportional to 644,001 and 946,310 is: 1,390,529.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,001 : 946,310 = 946,310 : x
  2. Step 2: Convert to fraction form
    644,001/946,310 = 946,310/x
  3. Step 3: Cross multiply
    644,001x = 946,310 × 946,310
  4. Step 4: Simplify right side
    644,001x = 895,502,616,100
  5. Step 5: Solve for x
    x = 895,502,616,100/644,001
  6. Step 6: Final answer
    x = 1,390,529.85

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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.