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Finding the Third Proportional to 427,572 and 907,611.75

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Solution

The third proportional to 427,572 and 907,611.75 is: 1,926,597.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,572 : 907,611.75 = 907,611.75 : x
  2. Step 2: Convert to fraction form
    427,572/907,611.75 = 907,611.75/x
  3. Step 3: Cross multiply
    427,572x = 907,611.75 × 907,611.75
  4. Step 4: Simplify right side
    427,572x = 823,759,088,738.06
  5. Step 5: Solve for x
    x = 823,759,088,738.06/427,572
  6. Step 6: Final answer
    x = 1,926,597.37

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.