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Finding the Third Proportional to 472,932.75 and 1,037,841

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Solution

The third proportional to 472,932.75 and 1,037,841 is: 2,277,520.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,932.75 : 1,037,841 = 1,037,841 : x
  2. Step 2: Convert to fraction form
    472,932.75/1,037,841 = 1,037,841/x
  3. Step 3: Cross multiply
    472,932.75x = 1,037,841 × 1,037,841
  4. Step 4: Simplify right side
    472,932.75x = 1,077,113,941,281
  5. Step 5: Solve for x
    x = 1,077,113,941,281/472,932.75
  6. Step 6: Final answer
    x = 2,277,520.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.