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Finding the Third Proportional to 1,322,143 and 2,967,853

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Solution

The third proportional to 1,322,143 and 2,967,853 is: 6,662,026.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322,143 : 2,967,853 = 2,967,853 : x
  2. Step 2: Convert to fraction form
    1,322,143/2,967,853 = 2,967,853/x
  3. Step 3: Cross multiply
    1,322,143x = 2,967,853 × 2,967,853
  4. Step 4: Simplify right side
    1,322,143x = 8,808,151,429,609
  5. Step 5: Solve for x
    x = 8,808,151,429,609/1,322,143
  6. Step 6: Final answer
    x = 6,662,026.29

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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.