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Finding the Third Proportional to 1,294,514 and 2,752,324

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Solution

The third proportional to 1,294,514 and 2,752,324 is: 5,851,838.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,514 : 2,752,324 = 2,752,324 : x
  2. Step 2: Convert to fraction form
    1,294,514/2,752,324 = 2,752,324/x
  3. Step 3: Cross multiply
    1,294,514x = 2,752,324 × 2,752,324
  4. Step 4: Simplify right side
    1,294,514x = 7,575,287,400,976
  5. Step 5: Solve for x
    x = 7,575,287,400,976/1,294,514
  6. Step 6: Final answer
    x = 5,851,838.91

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Why These Related Problems?

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