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Finding the Third Proportional to 471,646 and 1,017,982

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Solution

The third proportional to 471,646 and 1,017,982 is: 2,197,171.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,646 : 1,017,982 = 1,017,982 : x
  2. Step 2: Convert to fraction form
    471,646/1,017,982 = 1,017,982/x
  3. Step 3: Cross multiply
    471,646x = 1,017,982 × 1,017,982
  4. Step 4: Simplify right side
    471,646x = 1,036,287,352,324
  5. Step 5: Solve for x
    x = 1,036,287,352,324/471,646
  6. Step 6: Final answer
    x = 2,197,171.93

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Why These Related Problems?

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