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Finding the Third Proportional to 710,643.75 and 1,449,834

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Solution

The third proportional to 710,643.75 and 1,449,834 is: 2,957,907.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,643.75 : 1,449,834 = 1,449,834 : x
  2. Step 2: Convert to fraction form
    710,643.75/1,449,834 = 1,449,834/x
  3. Step 3: Cross multiply
    710,643.75x = 1,449,834 × 1,449,834
  4. Step 4: Simplify right side
    710,643.75x = 2,102,018,627,556
  5. Step 5: Solve for x
    x = 2,102,018,627,556/710,643.75
  6. Step 6: Final answer
    x = 2,957,907.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.