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Finding the Third Proportional to 473,802 and 1,036,175

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Solution

The third proportional to 473,802 and 1,036,175 is: 2,266,049.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,802 : 1,036,175 = 1,036,175 : x
  2. Step 2: Convert to fraction form
    473,802/1,036,175 = 1,036,175/x
  3. Step 3: Cross multiply
    473,802x = 1,036,175 × 1,036,175
  4. Step 4: Simplify right side
    473,802x = 1,073,658,630,625
  5. Step 5: Solve for x
    x = 1,073,658,630,625/473,802
  6. Step 6: Final answer
    x = 2,266,049.17

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