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Finding the Third Proportional to 945,264 and 1,452,937.50

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Solution

The third proportional to 945,264 and 1,452,937.50 is: 2,233,267.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,264 : 1,452,937.50 = 1,452,937.50 : x
  2. Step 2: Convert to fraction form
    945,264/1,452,937.50 = 1,452,937.50/x
  3. Step 3: Cross multiply
    945,264x = 1,452,937.50 × 1,452,937.50
  4. Step 4: Simplify right side
    945,264x = 2,111,027,378,906.25
  5. Step 5: Solve for x
    x = 2,111,027,378,906.25/945,264
  6. Step 6: Final answer
    x = 2,233,267.51

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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.