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Finding the Third Proportional to 701,336 and 1,514,772

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Solution

The third proportional to 701,336 and 1,514,772 is: 3,271,661.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,336 : 1,514,772 = 1,514,772 : x
  2. Step 2: Convert to fraction form
    701,336/1,514,772 = 1,514,772/x
  3. Step 3: Cross multiply
    701,336x = 1,514,772 × 1,514,772
  4. Step 4: Simplify right side
    701,336x = 2,294,534,211,984
  5. Step 5: Solve for x
    x = 2,294,534,211,984/701,336
  6. Step 6: Final answer
    x = 3,271,661.82

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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.