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Finding the Third Proportional to 1,272,543 and 2,633,662.50

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Solution

The third proportional to 1,272,543 and 2,633,662.50 is: 5,450,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272,543 : 2,633,662.50 = 2,633,662.50 : x
  2. Step 2: Convert to fraction form
    1,272,543/2,633,662.50 = 2,633,662.50/x
  3. Step 3: Cross multiply
    1,272,543x = 2,633,662.50 × 2,633,662.50
  4. Step 4: Simplify right side
    1,272,543x = 6,936,178,163,906.25
  5. Step 5: Solve for x
    x = 6,936,178,163,906.25/1,272,543
  6. Step 6: Final answer
    x = 5,450,643.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.