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Finding the Third Proportional to 644,404 and 946,875

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Solution

The third proportional to 644,404 and 946,875 is: 1,391,320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,404 : 946,875 = 946,875 : x
  2. Step 2: Convert to fraction form
    644,404/946,875 = 946,875/x
  3. Step 3: Cross multiply
    644,404x = 946,875 × 946,875
  4. Step 4: Simplify right side
    644,404x = 896,572,265,625
  5. Step 5: Solve for x
    x = 896,572,265,625/644,404
  6. Step 6: Final answer
    x = 1,391,320.14

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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.