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Finding the Third Proportional to 2,106,658 and 3,182,127

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Solution

The third proportional to 2,106,658 and 3,182,127 is: 4,806,633.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,658 : 3,182,127 = 3,182,127 : x
  2. Step 2: Convert to fraction form
    2,106,658/3,182,127 = 3,182,127/x
  3. Step 3: Cross multiply
    2,106,658x = 3,182,127 × 3,182,127
  4. Step 4: Simplify right side
    2,106,658x = 10,125,932,244,129
  5. Step 5: Solve for x
    x = 10,125,932,244,129/2,106,658
  6. Step 6: Final answer
    x = 4,806,633.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.