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Finding the Third Proportional to 683,028 and 1,097,442

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Solution

The third proportional to 683,028 and 1,097,442 is: 1,763,293.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,028 : 1,097,442 = 1,097,442 : x
  2. Step 2: Convert to fraction form
    683,028/1,097,442 = 1,097,442/x
  3. Step 3: Cross multiply
    683,028x = 1,097,442 × 1,097,442
  4. Step 4: Simplify right side
    683,028x = 1,204,378,943,364
  5. Step 5: Solve for x
    x = 1,204,378,943,364/683,028
  6. Step 6: Final answer
    x = 1,763,293.66

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.