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Finding the Third Proportional to 1,471,788 and 2,159,212

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Solution

The third proportional to 1,471,788 and 2,159,212 is: 3,167,709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471,788 : 2,159,212 = 2,159,212 : x
  2. Step 2: Convert to fraction form
    1,471,788/2,159,212 = 2,159,212/x
  3. Step 3: Cross multiply
    1,471,788x = 2,159,212 × 2,159,212
  4. Step 4: Simplify right side
    1,471,788x = 4,662,196,460,944
  5. Step 5: Solve for x
    x = 4,662,196,460,944/1,471,788
  6. Step 6: Final answer
    x = 3,167,709.25

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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.