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Finding the Third Proportional to 694,608 and 1,514,904

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Solution

The third proportional to 694,608 and 1,514,904 is: 3,303,927.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,608 : 1,514,904 = 1,514,904 : x
  2. Step 2: Convert to fraction form
    694,608/1,514,904 = 1,514,904/x
  3. Step 3: Cross multiply
    694,608x = 1,514,904 × 1,514,904
  4. Step 4: Simplify right side
    694,608x = 2,294,934,129,216
  5. Step 5: Solve for x
    x = 2,294,934,129,216/694,608
  6. Step 6: Final answer
    x = 3,303,927.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.