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Finding the Third Proportional to 656,108 and 1,071,357

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Solution

The third proportional to 656,108 and 1,071,357 is: 1,749,415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,108 : 1,071,357 = 1,071,357 : x
  2. Step 2: Convert to fraction form
    656,108/1,071,357 = 1,071,357/x
  3. Step 3: Cross multiply
    656,108x = 1,071,357 × 1,071,357
  4. Step 4: Simplify right side
    656,108x = 1,147,805,821,449
  5. Step 5: Solve for x
    x = 1,147,805,821,449/656,108
  6. Step 6: Final answer
    x = 1,749,415.98

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.