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Finding the Third Proportional to 1,403,138.81 and 2,052,220.22

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Solution

The third proportional to 1,403,138.81 and 2,052,220.22 is: 3,001,561.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403,138.81 : 2,052,220.22 = 2,052,220.22 : x
  2. Step 2: Convert to fraction form
    1,403,138.81/2,052,220.22 = 2,052,220.22/x
  3. Step 3: Cross multiply
    1,403,138.81x = 2,052,220.22 × 2,052,220.22
  4. Step 4: Simplify right side
    1,403,138.81x = 4,211,607,826,246.30
  5. Step 5: Solve for x
    x = 4,211,607,826,246.30/1,403,138.81
  6. Step 6: Final answer
    x = 3,001,561.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.