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Finding the Third Proportional to 945,540 and 1,419,277.50

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Solution

The third proportional to 945,540 and 1,419,277.50 is: 2,130,368.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,540 : 1,419,277.50 = 1,419,277.50 : x
  2. Step 2: Convert to fraction form
    945,540/1,419,277.50 = 1,419,277.50/x
  3. Step 3: Cross multiply
    945,540x = 1,419,277.50 × 1,419,277.50
  4. Step 4: Simplify right side
    945,540x = 2,014,348,622,006.25
  5. Step 5: Solve for x
    x = 2,014,348,622,006.25/945,540
  6. Step 6: Final answer
    x = 2,130,368.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.