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Finding the Third Proportional to 699,903 and 1,446,462

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Solution

The third proportional to 699,903 and 1,446,462 is: 2,989,346.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,903 : 1,446,462 = 1,446,462 : x
  2. Step 2: Convert to fraction form
    699,903/1,446,462 = 1,446,462/x
  3. Step 3: Cross multiply
    699,903x = 1,446,462 × 1,446,462
  4. Step 4: Simplify right side
    699,903x = 2,092,252,317,444
  5. Step 5: Solve for x
    x = 2,092,252,317,444/699,903
  6. Step 6: Final answer
    x = 2,989,346.12

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.