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Finding the Third Proportional to 1,456,752 and 2,285,214

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Solution

The third proportional to 1,456,752 and 2,285,214 is: 3,584,826.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,752 : 2,285,214 = 2,285,214 : x
  2. Step 2: Convert to fraction form
    1,456,752/2,285,214 = 2,285,214/x
  3. Step 3: Cross multiply
    1,456,752x = 2,285,214 × 2,285,214
  4. Step 4: Simplify right side
    1,456,752x = 5,222,203,025,796
  5. Step 5: Solve for x
    x = 5,222,203,025,796/1,456,752
  6. Step 6: Final answer
    x = 3,584,826.40

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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.