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Finding the Third Proportional to 1,298,160.56 and 2,824,908.19

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Solution

The third proportional to 1,298,160.56 and 2,824,908.19 is: 6,147,241.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,160.56 : 2,824,908.19 = 2,824,908.19 : x
  2. Step 2: Convert to fraction form
    1,298,160.56/2,824,908.19 = 2,824,908.19/x
  3. Step 3: Cross multiply
    1,298,160.56x = 2,824,908.19 × 2,824,908.19
  4. Step 4: Simplify right side
    1,298,160.56x = 7,980,106,267,804.54
  5. Step 5: Solve for x
    x = 7,980,106,267,804.54/1,298,160.56
  6. Step 6: Final answer
    x = 6,147,241.33

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Why These Related Problems?

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