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Finding the Third Proportional to 1,083,140.23 and 1,514,218.43

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Solution

The third proportional to 1,083,140.23 and 1,514,218.43 is: 2,116,861.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083,140.23 : 1,514,218.43 = 1,514,218.43 : x
  2. Step 2: Convert to fraction form
    1,083,140.23/1,514,218.43 = 1,514,218.43/x
  3. Step 3: Cross multiply
    1,083,140.23x = 1,514,218.43 × 1,514,218.43
  4. Step 4: Simplify right side
    1,083,140.23x = 2,292,857,452,805.28
  5. Step 5: Solve for x
    x = 2,292,857,452,805.28/1,083,140.23
  6. Step 6: Final answer
    x = 2,116,861.14

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Why These Related Problems?

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