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Finding the Third Proportional to 2,731,880.25 and 4,009,246.88

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Solution

The third proportional to 2,731,880.25 and 4,009,246.88 is: 5,883,881.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731,880.25 : 4,009,246.88 = 4,009,246.88 : x
  2. Step 2: Convert to fraction form
    2,731,880.25/4,009,246.88 = 4,009,246.88/x
  3. Step 3: Cross multiply
    2,731,880.25x = 4,009,246.88 × 4,009,246.88
  4. Step 4: Simplify right side
    2,731,880.25x = 16,074,060,504,697.27
  5. Step 5: Solve for x
    x = 16,074,060,504,697.27/2,731,880.25
  6. Step 6: Final answer
    x = 5,883,881.81

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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.