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Finding the Third Proportional to 616,571 and 968,565

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Solution

The third proportional to 616,571 and 968,565 is: 1,521,508.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,571 : 968,565 = 968,565 : x
  2. Step 2: Convert to fraction form
    616,571/968,565 = 968,565/x
  3. Step 3: Cross multiply
    616,571x = 968,565 × 968,565
  4. Step 4: Simplify right side
    616,571x = 938,118,159,225
  5. Step 5: Solve for x
    x = 938,118,159,225/616,571
  6. Step 6: Final answer
    x = 1,521,508.73

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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.