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Finding the Third Proportional to 2,584,942.88 and 3,622,332.66

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Solution

The third proportional to 2,584,942.88 and 3,622,332.66 is: 5,076,047.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584,942.88 : 3,622,332.66 = 3,622,332.66 : x
  2. Step 2: Convert to fraction form
    2,584,942.88/3,622,332.66 = 3,622,332.66/x
  3. Step 3: Cross multiply
    2,584,942.88x = 3,622,332.66 × 3,622,332.66
  4. Step 4: Simplify right side
    2,584,942.88x = 13,121,293,872,535.18
  5. Step 5: Solve for x
    x = 13,121,293,872,535.18/2,584,942.88
  6. Step 6: Final answer
    x = 5,076,047.91

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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.