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Finding the Third Proportional to 473,234.91 and 1,026,318.09

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Solution

The third proportional to 473,234.91 and 1,026,318.09 is: 2,225,805.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,234.91 : 1,026,318.09 = 1,026,318.09 : x
  2. Step 2: Convert to fraction form
    473,234.91/1,026,318.09 = 1,026,318.09/x
  3. Step 3: Cross multiply
    473,234.91x = 1,026,318.09 × 1,026,318.09
  4. Step 4: Simplify right side
    473,234.91x = 1,053,328,829,558.63
  5. Step 5: Solve for x
    x = 1,053,328,829,558.63/473,234.91
  6. Step 6: Final answer
    x = 2,225,805.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.