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Finding the Third Proportional to 471,849 and 1,026,639

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Solution

The third proportional to 471,849 and 1,026,639 is: 2,233,739.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,849 : 1,026,639 = 1,026,639 : x
  2. Step 2: Convert to fraction form
    471,849/1,026,639 = 1,026,639/x
  3. Step 3: Cross multiply
    471,849x = 1,026,639 × 1,026,639
  4. Step 4: Simplify right side
    471,849x = 1,053,987,636,321
  5. Step 5: Solve for x
    x = 1,053,987,636,321/471,849
  6. Step 6: Final answer
    x = 2,233,739.26

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Why These Related Problems?

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