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Finding the Third Proportional to 476,028 and 1,030,422

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Solution

The third proportional to 476,028 and 1,030,422 is: 2,230,476.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,028 : 1,030,422 = 1,030,422 : x
  2. Step 2: Convert to fraction form
    476,028/1,030,422 = 1,030,422/x
  3. Step 3: Cross multiply
    476,028x = 1,030,422 × 1,030,422
  4. Step 4: Simplify right side
    476,028x = 1,061,769,498,084
  5. Step 5: Solve for x
    x = 1,061,769,498,084/476,028
  6. Step 6: Final answer
    x = 2,230,476.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.