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Finding the Third Proportional to 616,616 and 968,634

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Solution

The third proportional to 616,616 and 968,634 is: 1,521,614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,616 : 968,634 = 968,634 : x
  2. Step 2: Convert to fraction form
    616,616/968,634 = 968,634/x
  3. Step 3: Cross multiply
    616,616x = 968,634 × 968,634
  4. Step 4: Simplify right side
    616,616x = 938,251,825,956
  5. Step 5: Solve for x
    x = 938,251,825,956/616,616
  6. Step 6: Final answer
    x = 1,521,614.47

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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.