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Finding the Third Proportional to 644,003 and 946,313

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Solution

The third proportional to 644,003 and 946,313 is: 1,390,534.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,003 : 946,313 = 946,313 : x
  2. Step 2: Convert to fraction form
    644,003/946,313 = 946,313/x
  3. Step 3: Cross multiply
    644,003x = 946,313 × 946,313
  4. Step 4: Simplify right side
    644,003x = 895,508,293,969
  5. Step 5: Solve for x
    x = 895,508,293,969/644,003
  6. Step 6: Final answer
    x = 1,390,534.35

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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.