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Finding the Third Proportional to 727,444 and 1,571,041

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Solution

The third proportional to 727,444 and 1,571,041 is: 3,392,934.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,444 : 1,571,041 = 1,571,041 : x
  2. Step 2: Convert to fraction form
    727,444/1,571,041 = 1,571,041/x
  3. Step 3: Cross multiply
    727,444x = 1,571,041 × 1,571,041
  4. Step 4: Simplify right side
    727,444x = 2,468,169,823,681
  5. Step 5: Solve for x
    x = 2,468,169,823,681/727,444
  6. Step 6: Final answer
    x = 3,392,934.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.