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Finding the Third Proportional to 616,575 and 968,571

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Solution

The third proportional to 616,575 and 968,571 is: 1,521,517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,575 : 968,571 = 968,571 : x
  2. Step 2: Convert to fraction form
    616,575/968,571 = 968,571/x
  3. Step 3: Cross multiply
    616,575x = 968,571 × 968,571
  4. Step 4: Simplify right side
    616,575x = 938,129,782,041
  5. Step 5: Solve for x
    x = 938,129,782,041/616,575
  6. Step 6: Final answer
    x = 1,521,517.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.