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Finding the Third Proportional to 472,943.75 and 1,037,863

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Solution

The third proportional to 472,943.75 and 1,037,863 is: 2,277,563.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,943.75 : 1,037,863 = 1,037,863 : x
  2. Step 2: Convert to fraction form
    472,943.75/1,037,863 = 1,037,863/x
  3. Step 3: Cross multiply
    472,943.75x = 1,037,863 × 1,037,863
  4. Step 4: Simplify right side
    472,943.75x = 1,077,159,606,769
  5. Step 5: Solve for x
    x = 1,077,159,606,769/472,943.75
  6. Step 6: Final answer
    x = 2,277,563.89

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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.