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Finding the Third Proportional to 683,721 and 1,411,173

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Solution

The third proportional to 683,721 and 1,411,173 is: 2,912,605.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,721 : 1,411,173 = 1,411,173 : x
  2. Step 2: Convert to fraction form
    683,721/1,411,173 = 1,411,173/x
  3. Step 3: Cross multiply
    683,721x = 1,411,173 × 1,411,173
  4. Step 4: Simplify right side
    683,721x = 1,991,409,235,929
  5. Step 5: Solve for x
    x = 1,991,409,235,929/683,721
  6. Step 6: Final answer
    x = 2,912,605.05

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.