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Finding the Third Proportional to 582,201 and 1,272,666

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Solution

The third proportional to 582,201 and 1,272,666 is: 2,781,992.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,201 : 1,272,666 = 1,272,666 : x
  2. Step 2: Convert to fraction form
    582,201/1,272,666 = 1,272,666/x
  3. Step 3: Cross multiply
    582,201x = 1,272,666 × 1,272,666
  4. Step 4: Simplify right side
    582,201x = 1,619,678,747,556
  5. Step 5: Solve for x
    x = 1,619,678,747,556/582,201
  6. Step 6: Final answer
    x = 2,781,992.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.