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Finding the Third Proportional to 1,471,796 and 2,159,229

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Solution

The third proportional to 1,471,796 and 2,159,229 is: 3,167,741.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471,796 : 2,159,229 = 2,159,229 : x
  2. Step 2: Convert to fraction form
    1,471,796/2,159,229 = 2,159,229/x
  3. Step 3: Cross multiply
    1,471,796x = 2,159,229 × 2,159,229
  4. Step 4: Simplify right side
    1,471,796x = 4,662,269,874,441
  5. Step 5: Solve for x
    x = 4,662,269,874,441/1,471,796
  6. Step 6: Final answer
    x = 3,167,741.91

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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.