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Finding the Third Proportional to 1,475,617 and 2,171,229

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Solution

The third proportional to 1,475,617 and 2,171,229 is: 3,194,755.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475,617 : 2,171,229 = 2,171,229 : x
  2. Step 2: Convert to fraction form
    1,475,617/2,171,229 = 2,171,229/x
  3. Step 3: Cross multiply
    1,475,617x = 2,171,229 × 2,171,229
  4. Step 4: Simplify right side
    1,475,617x = 4,714,235,370,441
  5. Step 5: Solve for x
    x = 4,714,235,370,441/1,475,617
  6. Step 6: Final answer
    x = 3,194,755.39

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.