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Finding the Third Proportional to 474,029.72 and 1,044,689.91

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Solution

The third proportional to 474,029.72 and 1,044,689.91 is: 2,302,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,029.72 : 1,044,689.91 = 1,044,689.91 : x
  2. Step 2: Convert to fraction form
    474,029.72/1,044,689.91 = 1,044,689.91/x
  3. Step 3: Cross multiply
    474,029.72x = 1,044,689.91 × 1,044,689.91
  4. Step 4: Simplify right side
    474,029.72x = 1,091,377,000,220.63
  5. Step 5: Solve for x
    x = 1,091,377,000,220.63/474,029.72
  6. Step 6: Final answer
    x = 2,302,338.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.