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Finding the Third Proportional to 420,976 and 901,664

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Solution

The third proportional to 420,976 and 901,664 is: 1,931,221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,976 : 901,664 = 901,664 : x
  2. Step 2: Convert to fraction form
    420,976/901,664 = 901,664/x
  3. Step 3: Cross multiply
    420,976x = 901,664 × 901,664
  4. Step 4: Simplify right side
    420,976x = 812,997,968,896
  5. Step 5: Solve for x
    x = 812,997,968,896/420,976
  6. Step 6: Final answer
    x = 1,931,221.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.