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Finding the Third Proportional to 1,466,682.19 and 3,177,564.19

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Solution

The third proportional to 1,466,682.19 and 3,177,564.19 is: 6,884,186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466,682.19 : 3,177,564.19 = 3,177,564.19 : x
  2. Step 2: Convert to fraction form
    1,466,682.19/3,177,564.19 = 3,177,564.19/x
  3. Step 3: Cross multiply
    1,466,682.19x = 3,177,564.19 × 3,177,564.19
  4. Step 4: Simplify right side
    1,466,682.19x = 10,096,914,165,682.54
  5. Step 5: Solve for x
    x = 10,096,914,165,682.54/1,466,682.19
  6. Step 6: Final answer
    x = 6,884,186.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.