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Finding the Third Proportional to 1,706,120 and 3,733,648

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Solution

The third proportional to 1,706,120 and 3,733,648 is: 8,170,660.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706,120 : 3,733,648 = 3,733,648 : x
  2. Step 2: Convert to fraction form
    1,706,120/3,733,648 = 3,733,648/x
  3. Step 3: Cross multiply
    1,706,120x = 3,733,648 × 3,733,648
  4. Step 4: Simplify right side
    1,706,120x = 13,940,127,387,904
  5. Step 5: Solve for x
    x = 13,940,127,387,904/1,706,120
  6. Step 6: Final answer
    x = 8,170,660.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.