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Finding the Third Proportional to 437,887 and 943,301

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Solution

The third proportional to 437,887 and 943,301 is: 2,032,069.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,887 : 943,301 = 943,301 : x
  2. Step 2: Convert to fraction form
    437,887/943,301 = 943,301/x
  3. Step 3: Cross multiply
    437,887x = 943,301 × 943,301
  4. Step 4: Simplify right side
    437,887x = 889,816,776,601
  5. Step 5: Solve for x
    x = 889,816,776,601/437,887
  6. Step 6: Final answer
    x = 2,032,069.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.