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Finding the Third Proportional to 1,009,854 and 2,177,172

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Solution

The third proportional to 1,009,854 and 2,177,172 is: 4,693,824.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,854 : 2,177,172 = 2,177,172 : x
  2. Step 2: Convert to fraction form
    1,009,854/2,177,172 = 2,177,172/x
  3. Step 3: Cross multiply
    1,009,854x = 2,177,172 × 2,177,172
  4. Step 4: Simplify right side
    1,009,854x = 4,740,077,917,584
  5. Step 5: Solve for x
    x = 4,740,077,917,584/1,009,854
  6. Step 6: Final answer
    x = 4,693,824.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.