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Finding the Third Proportional to 1,428,724 and 1,945,653

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Solution

The third proportional to 1,428,724 and 1,945,653 is: 2,649,612.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,724 : 1,945,653 = 1,945,653 : x
  2. Step 2: Convert to fraction form
    1,428,724/1,945,653 = 1,945,653/x
  3. Step 3: Cross multiply
    1,428,724x = 1,945,653 × 1,945,653
  4. Step 4: Simplify right side
    1,428,724x = 3,785,565,596,409
  5. Step 5: Solve for x
    x = 3,785,565,596,409/1,428,724
  6. Step 6: Final answer
    x = 2,649,612.94

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.