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Finding the Third Proportional to 644,444 and 946,928

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Solution

The third proportional to 644,444 and 946,928 is: 1,391,389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,444 : 946,928 = 946,928 : x
  2. Step 2: Convert to fraction form
    644,444/946,928 = 946,928/x
  3. Step 3: Cross multiply
    644,444x = 946,928 × 946,928
  4. Step 4: Simplify right side
    644,444x = 896,672,637,184
  5. Step 5: Solve for x
    x = 896,672,637,184/644,444
  6. Step 6: Final answer
    x = 1,391,389.53

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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.