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Finding the Third Proportional to 2,584,959.75 and 3,622,347

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Solution

The third proportional to 2,584,959.75 and 3,622,347 is: 5,076,054.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584,959.75 : 3,622,347 = 3,622,347 : x
  2. Step 2: Convert to fraction form
    2,584,959.75/3,622,347 = 3,622,347/x
  3. Step 3: Cross multiply
    2,584,959.75x = 3,622,347 × 3,622,347
  4. Step 4: Simplify right side
    2,584,959.75x = 13,121,397,788,409
  5. Step 5: Solve for x
    x = 13,121,397,788,409/2,584,959.75
  6. Step 6: Final answer
    x = 5,076,054.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.