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Finding the Third Proportional to 1,083,189 and 1,514,292

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Solution

The third proportional to 1,083,189 and 1,514,292 is: 2,116,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083,189 : 1,514,292 = 1,514,292 : x
  2. Step 2: Convert to fraction form
    1,083,189/1,514,292 = 1,514,292/x
  3. Step 3: Cross multiply
    1,083,189x = 1,514,292 × 1,514,292
  4. Step 4: Simplify right side
    1,083,189x = 2,293,080,261,264
  5. Step 5: Solve for x
    x = 2,293,080,261,264/1,083,189
  6. Step 6: Final answer
    x = 2,116,971.52

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.