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Finding the Third Proportional to 418,536 and 906,610.50

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Solution

The third proportional to 418,536 and 906,610.50 is: 1,963,851.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,536 : 906,610.50 = 906,610.50 : x
  2. Step 2: Convert to fraction form
    418,536/906,610.50 = 906,610.50/x
  3. Step 3: Cross multiply
    418,536x = 906,610.50 × 906,610.50
  4. Step 4: Simplify right side
    418,536x = 821,942,598,710.25
  5. Step 5: Solve for x
    x = 821,942,598,710.25/418,536
  6. Step 6: Final answer
    x = 1,963,851.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.