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Finding the Third Proportional to 634,370 and 1,331,016

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Solution

The third proportional to 634,370 and 1,331,016 is: 2,792,697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,370 : 1,331,016 = 1,331,016 : x
  2. Step 2: Convert to fraction form
    634,370/1,331,016 = 1,331,016/x
  3. Step 3: Cross multiply
    634,370x = 1,331,016 × 1,331,016
  4. Step 4: Simplify right side
    634,370x = 1,771,603,592,256
  5. Step 5: Solve for x
    x = 1,771,603,592,256/634,370
  6. Step 6: Final answer
    x = 2,792,697.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.