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Finding the Third Proportional to 507,899 and 1,083,298

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Solution

The third proportional to 507,899 and 1,083,298 is: 2,310,566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,899 : 1,083,298 = 1,083,298 : x
  2. Step 2: Convert to fraction form
    507,899/1,083,298 = 1,083,298/x
  3. Step 3: Cross multiply
    507,899x = 1,083,298 × 1,083,298
  4. Step 4: Simplify right side
    507,899x = 1,173,534,556,804
  5. Step 5: Solve for x
    x = 1,173,534,556,804/507,899
  6. Step 6: Final answer
    x = 2,310,566.78

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.