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Finding the Third Proportional to 476,951 and 1,036,733

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Solution

The third proportional to 476,951 and 1,036,733 is: 2,253,513.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,951 : 1,036,733 = 1,036,733 : x
  2. Step 2: Convert to fraction form
    476,951/1,036,733 = 1,036,733/x
  3. Step 3: Cross multiply
    476,951x = 1,036,733 × 1,036,733
  4. Step 4: Simplify right side
    476,951x = 1,074,815,313,289
  5. Step 5: Solve for x
    x = 1,074,815,313,289/476,951
  6. Step 6: Final answer
    x = 2,253,513.07

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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.