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Finding the Third Proportional to 985,203 and 2,117,729.25

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Solution

The third proportional to 985,203 and 2,117,729.25 is: 4,552,135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,203 : 2,117,729.25 = 2,117,729.25 : x
  2. Step 2: Convert to fraction form
    985,203/2,117,729.25 = 2,117,729.25/x
  3. Step 3: Cross multiply
    985,203x = 2,117,729.25 × 2,117,729.25
  4. Step 4: Simplify right side
    985,203x = 4,484,777,176,305.56
  5. Step 5: Solve for x
    x = 4,484,777,176,305.56/985,203
  6. Step 6: Final answer
    x = 4,552,135.12

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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.