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Finding the Third Proportional to 474,418 and 1,033,070

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Solution

The third proportional to 474,418 and 1,033,070 is: 2,249,563.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,418 : 1,033,070 = 1,033,070 : x
  2. Step 2: Convert to fraction form
    474,418/1,033,070 = 1,033,070/x
  3. Step 3: Cross multiply
    474,418x = 1,033,070 × 1,033,070
  4. Step 4: Simplify right side
    474,418x = 1,067,233,624,900
  5. Step 5: Solve for x
    x = 1,067,233,624,900/474,418
  6. Step 6: Final answer
    x = 2,249,563.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.