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Finding the Third Proportional to 440,991 and 956,664

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Solution

The third proportional to 440,991 and 956,664 is: 2,075,339.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,991 : 956,664 = 956,664 : x
  2. Step 2: Convert to fraction form
    440,991/956,664 = 956,664/x
  3. Step 3: Cross multiply
    440,991x = 956,664 × 956,664
  4. Step 4: Simplify right side
    440,991x = 915,206,008,896
  5. Step 5: Solve for x
    x = 915,206,008,896/440,991
  6. Step 6: Final answer
    x = 2,075,339.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.