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Finding the Third Proportional to 634,963 and 959,006

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Solution

The third proportional to 634,963 and 959,006 is: 1,448,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,963 : 959,006 = 959,006 : x
  2. Step 2: Convert to fraction form
    634,963/959,006 = 959,006/x
  3. Step 3: Cross multiply
    634,963x = 959,006 × 959,006
  4. Step 4: Simplify right side
    634,963x = 919,692,508,036
  5. Step 5: Solve for x
    x = 919,692,508,036/634,963
  6. Step 6: Final answer
    x = 1,448,419.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.