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Finding the Third Proportional to 3,116,138.25 and 4,786,770

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Solution

The third proportional to 3,116,138.25 and 4,786,770 is: 7,353,064.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116,138.25 : 4,786,770 = 4,786,770 : x
  2. Step 2: Convert to fraction form
    3,116,138.25/4,786,770 = 4,786,770/x
  3. Step 3: Cross multiply
    3,116,138.25x = 4,786,770 × 4,786,770
  4. Step 4: Simplify right side
    3,116,138.25x = 22,913,167,032,900
  5. Step 5: Solve for x
    x = 22,913,167,032,900/3,116,138.25
  6. Step 6: Final answer
    x = 7,353,064.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.