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Finding the Third Proportional to 634,922 and 958,863

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Solution

The third proportional to 634,922 and 958,863 is: 1,448,080.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,922 : 958,863 = 958,863 : x
  2. Step 2: Convert to fraction form
    634,922/958,863 = 958,863/x
  3. Step 3: Cross multiply
    634,922x = 958,863 × 958,863
  4. Step 4: Simplify right side
    634,922x = 919,418,252,769
  5. Step 5: Solve for x
    x = 919,418,252,769/634,922
  6. Step 6: Final answer
    x = 1,448,080.63

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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.