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Finding the Third Proportional to 645,511.50 and 1,418,415.75

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Solution

The third proportional to 645,511.50 and 1,418,415.75 is: 3,116,758.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,511.50 : 1,418,415.75 = 1,418,415.75 : x
  2. Step 2: Convert to fraction form
    645,511.50/1,418,415.75 = 1,418,415.75/x
  3. Step 3: Cross multiply
    645,511.50x = 1,418,415.75 × 1,418,415.75
  4. Step 4: Simplify right side
    645,511.50x = 2,011,903,239,848.06
  5. Step 5: Solve for x
    x = 2,011,903,239,848.06/645,511.50
  6. Step 6: Final answer
    x = 3,116,758.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.