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Finding the Third Proportional to 457,117.17 and 973,249.17

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Solution

The third proportional to 457,117.17 and 973,249.17 is: 2,072,146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,117.17 : 973,249.17 = 973,249.17 : x
  2. Step 2: Convert to fraction form
    457,117.17/973,249.17 = 973,249.17/x
  3. Step 3: Cross multiply
    457,117.17x = 973,249.17 × 973,249.17
  4. Step 4: Simplify right side
    457,117.17x = 947,213,950,555.37
  5. Step 5: Solve for x
    x = 947,213,950,555.37/457,117.17
  6. Step 6: Final answer
    x = 2,072,146.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.