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Finding the Third Proportional to 656,530 and 1,428,091

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Solution

The third proportional to 656,530 and 1,428,091 is: 3,106,398.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,530 : 1,428,091 = 1,428,091 : x
  2. Step 2: Convert to fraction form
    656,530/1,428,091 = 1,428,091/x
  3. Step 3: Cross multiply
    656,530x = 1,428,091 × 1,428,091
  4. Step 4: Simplify right side
    656,530x = 2,039,443,904,281
  5. Step 5: Solve for x
    x = 2,039,443,904,281/656,530
  6. Step 6: Final answer
    x = 3,106,398.65

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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.