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Finding the Third Proportional to 812,580 and 1,750,032

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Solution

The third proportional to 812,580 and 1,750,032 is: 3,768,997.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,580 : 1,750,032 = 1,750,032 : x
  2. Step 2: Convert to fraction form
    812,580/1,750,032 = 1,750,032/x
  3. Step 3: Cross multiply
    812,580x = 1,750,032 × 1,750,032
  4. Step 4: Simplify right side
    812,580x = 3,062,612,001,024
  5. Step 5: Solve for x
    x = 3,062,612,001,024/812,580
  6. Step 6: Final answer
    x = 3,768,997.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.