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Finding the Third Proportional to 760,380 and 1,633,080

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Solution

The third proportional to 760,380 and 1,633,080 is: 3,507,391.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,380 : 1,633,080 = 1,633,080 : x
  2. Step 2: Convert to fraction form
    760,380/1,633,080 = 1,633,080/x
  3. Step 3: Cross multiply
    760,380x = 1,633,080 × 1,633,080
  4. Step 4: Simplify right side
    760,380x = 2,666,950,286,400
  5. Step 5: Solve for x
    x = 2,666,950,286,400/760,380
  6. Step 6: Final answer
    x = 3,507,391.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.