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Finding the Third Proportional to 1,336,721 and 2,886,514

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Solution

The third proportional to 1,336,721 and 2,886,514 is: 6,233,135.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336,721 : 2,886,514 = 2,886,514 : x
  2. Step 2: Convert to fraction form
    1,336,721/2,886,514 = 2,886,514/x
  3. Step 3: Cross multiply
    1,336,721x = 2,886,514 × 2,886,514
  4. Step 4: Simplify right side
    1,336,721x = 8,331,963,072,196
  5. Step 5: Solve for x
    x = 8,331,963,072,196/1,336,721
  6. Step 6: Final answer
    x = 6,233,135.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.