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Finding the Third Proportional to 623,810 and 1,322,032

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Solution

The third proportional to 623,810 and 1,322,032 is: 2,801,764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,810 : 1,322,032 = 1,322,032 : x
  2. Step 2: Convert to fraction form
    623,810/1,322,032 = 1,322,032/x
  3. Step 3: Cross multiply
    623,810x = 1,322,032 × 1,322,032
  4. Step 4: Simplify right side
    623,810x = 1,747,768,609,024
  5. Step 5: Solve for x
    x = 1,747,768,609,024/623,810
  6. Step 6: Final answer
    x = 2,801,764.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.