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Finding the Third Proportional to 658,048 and 1,428,848

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Solution

The third proportional to 658,048 and 1,428,848 is: 3,102,519.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,048 : 1,428,848 = 1,428,848 : x
  2. Step 2: Convert to fraction form
    658,048/1,428,848 = 1,428,848/x
  3. Step 3: Cross multiply
    658,048x = 1,428,848 × 1,428,848
  4. Step 4: Simplify right side
    658,048x = 2,041,606,607,104
  5. Step 5: Solve for x
    x = 2,041,606,607,104/658,048
  6. Step 6: Final answer
    x = 3,102,519.28

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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.