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Finding the Third Proportional to 1,456,764 and 2,285,235

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Solution

The third proportional to 1,456,764 and 2,285,235 is: 3,584,862.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,764 : 2,285,235 = 2,285,235 : x
  2. Step 2: Convert to fraction form
    1,456,764/2,285,235 = 2,285,235/x
  3. Step 3: Cross multiply
    1,456,764x = 2,285,235 × 2,285,235
  4. Step 4: Simplify right side
    1,456,764x = 5,222,299,005,225
  5. Step 5: Solve for x
    x = 5,222,299,005,225/1,456,764
  6. Step 6: Final answer
    x = 3,584,862.75

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.