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Finding the Third Proportional to 1,263,721.50 and 1,951,533

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Solution

The third proportional to 1,263,721.50 and 1,951,533 is: 3,013,702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,721.50 : 1,951,533 = 1,951,533 : x
  2. Step 2: Convert to fraction form
    1,263,721.50/1,951,533 = 1,951,533/x
  3. Step 3: Cross multiply
    1,263,721.50x = 1,951,533 × 1,951,533
  4. Step 4: Simplify right side
    1,263,721.50x = 3,808,481,050,089
  5. Step 5: Solve for x
    x = 3,808,481,050,089/1,263,721.50
  6. Step 6: Final answer
    x = 3,013,702.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.