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Finding the Third Proportional to 442,008 and 964,974

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Solution

The third proportional to 442,008 and 964,974 is: 2,106,692.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,008 : 964,974 = 964,974 : x
  2. Step 2: Convert to fraction form
    442,008/964,974 = 964,974/x
  3. Step 3: Cross multiply
    442,008x = 964,974 × 964,974
  4. Step 4: Simplify right side
    442,008x = 931,174,820,676
  5. Step 5: Solve for x
    x = 931,174,820,676/442,008
  6. Step 6: Final answer
    x = 2,106,692.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.