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Finding the Third Proportional to 634,926 and 958,869

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Solution

The third proportional to 634,926 and 958,869 is: 1,448,089.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,926 : 958,869 = 958,869 : x
  2. Step 2: Convert to fraction form
    634,926/958,869 = 958,869/x
  3. Step 3: Cross multiply
    634,926x = 958,869 × 958,869
  4. Step 4: Simplify right side
    634,926x = 919,429,759,161
  5. Step 5: Solve for x
    x = 919,429,759,161/634,926
  6. Step 6: Final answer
    x = 1,448,089.63

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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.