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Finding the Third Proportional to 476,911 and 1,036,654

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Solution

The third proportional to 476,911 and 1,036,654 is: 2,253,358.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,911 : 1,036,654 = 1,036,654 : x
  2. Step 2: Convert to fraction form
    476,911/1,036,654 = 1,036,654/x
  3. Step 3: Cross multiply
    476,911x = 1,036,654 × 1,036,654
  4. Step 4: Simplify right side
    476,911x = 1,074,651,515,716
  5. Step 5: Solve for x
    x = 1,074,651,515,716/476,911
  6. Step 6: Final answer
    x = 2,253,358.63

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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.