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Finding the Third Proportional to 1,294,074 and 2,811,703.50

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Solution

The third proportional to 1,294,074 and 2,811,703.50 is: 6,109,137.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,074 : 2,811,703.50 = 2,811,703.50 : x
  2. Step 2: Convert to fraction form
    1,294,074/2,811,703.50 = 2,811,703.50/x
  3. Step 3: Cross multiply
    1,294,074x = 2,811,703.50 × 2,811,703.50
  4. Step 4: Simplify right side
    1,294,074x = 7,905,676,571,912.25
  5. Step 5: Solve for x
    x = 7,905,676,571,912.25/1,294,074
  6. Step 6: Final answer
    x = 6,109,137.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.