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Finding the Third Proportional to 656,532 and 1,428,093

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Solution

The third proportional to 656,532 and 1,428,093 is: 3,106,397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,532 : 1,428,093 = 1,428,093 : x
  2. Step 2: Convert to fraction form
    656,532/1,428,093 = 1,428,093/x
  3. Step 3: Cross multiply
    656,532x = 1,428,093 × 1,428,093
  4. Step 4: Simplify right side
    656,532x = 2,039,449,616,649
  5. Step 5: Solve for x
    x = 2,039,449,616,649/656,532
  6. Step 6: Final answer
    x = 3,106,397.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.