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Finding the Third Proportional to 802,987 and 1,182,295

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Solution

The third proportional to 802,987 and 1,182,295 is: 1,740,777.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,987 : 1,182,295 = 1,182,295 : x
  2. Step 2: Convert to fraction form
    802,987/1,182,295 = 1,182,295/x
  3. Step 3: Cross multiply
    802,987x = 1,182,295 × 1,182,295
  4. Step 4: Simplify right side
    802,987x = 1,397,821,467,025
  5. Step 5: Solve for x
    x = 1,397,821,467,025/802,987
  6. Step 6: Final answer
    x = 1,740,777.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.