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Finding the Third Proportional to 1,163,809.50 and 1,747,293.75

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Solution

The third proportional to 1,163,809.50 and 1,747,293.75 is: 2,623,312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163,809.50 : 1,747,293.75 = 1,747,293.75 : x
  2. Step 2: Convert to fraction form
    1,163,809.50/1,747,293.75 = 1,747,293.75/x
  3. Step 3: Cross multiply
    1,163,809.50x = 1,747,293.75 × 1,747,293.75
  4. Step 4: Simplify right side
    1,163,809.50x = 3,053,035,448,789.06
  5. Step 5: Solve for x
    x = 3,053,035,448,789.06/1,163,809.50
  6. Step 6: Final answer
    x = 2,623,312.02

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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.