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Finding the Third Proportional to 476,957 and 1,036,743

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Solution

The third proportional to 476,957 and 1,036,743 is: 2,253,528.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,957 : 1,036,743 = 1,036,743 : x
  2. Step 2: Convert to fraction form
    476,957/1,036,743 = 1,036,743/x
  3. Step 3: Cross multiply
    476,957x = 1,036,743 × 1,036,743
  4. Step 4: Simplify right side
    476,957x = 1,074,836,048,049
  5. Step 5: Solve for x
    x = 1,074,836,048,049/476,957
  6. Step 6: Final answer
    x = 2,253,528.20

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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.