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Finding the Third Proportional to 1,004,524.98 and 1,516,129.21

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Solution

The third proportional to 1,004,524.98 and 1,516,129.21 is: 2,288,293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,524.98 : 1,516,129.21 = 1,516,129.21 : x
  2. Step 2: Convert to fraction form
    1,004,524.98/1,516,129.21 = 1,516,129.21/x
  3. Step 3: Cross multiply
    1,004,524.98x = 1,516,129.21 × 1,516,129.21
  4. Step 4: Simplify right side
    1,004,524.98x = 2,298,647,772,413.06
  5. Step 5: Solve for x
    x = 2,298,647,772,413.06/1,004,524.98
  6. Step 6: Final answer
    x = 2,288,293.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.