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Finding the Third Proportional to 1,083,175 and 1,514,269

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Solution

The third proportional to 1,083,175 and 1,514,269 is: 2,116,934.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083,175 : 1,514,269 = 1,514,269 : x
  2. Step 2: Convert to fraction form
    1,083,175/1,514,269 = 1,514,269/x
  3. Step 3: Cross multiply
    1,083,175x = 1,514,269 × 1,514,269
  4. Step 4: Simplify right side
    1,083,175x = 2,293,010,604,361
  5. Step 5: Solve for x
    x = 2,293,010,604,361/1,083,175
  6. Step 6: Final answer
    x = 2,116,934.57

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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.