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Finding the Third Proportional to 943,866 and 1,415,898

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Solution

The third proportional to 943,866 and 1,415,898 is: 2,123,995.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,866 : 1,415,898 = 1,415,898 : x
  2. Step 2: Convert to fraction form
    943,866/1,415,898 = 1,415,898/x
  3. Step 3: Cross multiply
    943,866x = 1,415,898 × 1,415,898
  4. Step 4: Simplify right side
    943,866x = 2,004,767,146,404
  5. Step 5: Solve for x
    x = 2,004,767,146,404/943,866
  6. Step 6: Final answer
    x = 2,123,995.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.