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Finding the Third Proportional to 733,886 and 1,576,278

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Solution

The third proportional to 733,886 and 1,576,278 is: 3,385,610.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,886 : 1,576,278 = 1,576,278 : x
  2. Step 2: Convert to fraction form
    733,886/1,576,278 = 1,576,278/x
  3. Step 3: Cross multiply
    733,886x = 1,576,278 × 1,576,278
  4. Step 4: Simplify right side
    733,886x = 2,484,652,333,284
  5. Step 5: Solve for x
    x = 2,484,652,333,284/733,886
  6. Step 6: Final answer
    x = 3,385,610.75

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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.