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Finding the Third Proportional to 1,042,106 and 2,271,484

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Solution

The third proportional to 1,042,106 and 2,271,484 is: 4,951,165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042,106 : 2,271,484 = 2,271,484 : x
  2. Step 2: Convert to fraction form
    1,042,106/2,271,484 = 2,271,484/x
  3. Step 3: Cross multiply
    1,042,106x = 2,271,484 × 2,271,484
  4. Step 4: Simplify right side
    1,042,106x = 5,159,639,562,256
  5. Step 5: Solve for x
    x = 5,159,639,562,256/1,042,106
  6. Step 6: Final answer
    x = 4,951,165.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.