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Finding the Third Proportional to 1,049,289.19 and 2,259,110.25

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Solution

The third proportional to 1,049,289.19 and 2,259,110.25 is: 4,863,844.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,289.19 : 2,259,110.25 = 2,259,110.25 : x
  2. Step 2: Convert to fraction form
    1,049,289.19/2,259,110.25 = 2,259,110.25/x
  3. Step 3: Cross multiply
    1,049,289.19x = 2,259,110.25 × 2,259,110.25
  4. Step 4: Simplify right side
    1,049,289.19x = 5,103,579,121,655.06
  5. Step 5: Solve for x
    x = 5,103,579,121,655.06/1,049,289.19
  6. Step 6: Final answer
    x = 4,863,844.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.