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Finding the Third Proportional to 476,934 and 1,036,700

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Solution

The third proportional to 476,934 and 1,036,700 is: 2,253,449.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,934 : 1,036,700 = 1,036,700 : x
  2. Step 2: Convert to fraction form
    476,934/1,036,700 = 1,036,700/x
  3. Step 3: Cross multiply
    476,934x = 1,036,700 × 1,036,700
  4. Step 4: Simplify right side
    476,934x = 1,074,746,890,000
  5. Step 5: Solve for x
    x = 1,074,746,890,000/476,934
  6. Step 6: Final answer
    x = 2,253,449.93

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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.