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Finding the Third Proportional to 616,614 and 968,631

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Solution

The third proportional to 616,614 and 968,631 is: 1,521,609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,614 : 968,631 = 968,631 : x
  2. Step 2: Convert to fraction form
    616,614/968,631 = 968,631/x
  3. Step 3: Cross multiply
    616,614x = 968,631 × 968,631
  4. Step 4: Simplify right side
    616,614x = 938,246,014,161
  5. Step 5: Solve for x
    x = 938,246,014,161/616,614
  6. Step 6: Final answer
    x = 1,521,609.98

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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.