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Finding the Third Proportional to 645,415.50 and 1,418,217

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Solution

The third proportional to 645,415.50 and 1,418,217 is: 3,116,348.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,415.50 : 1,418,217 = 1,418,217 : x
  2. Step 2: Convert to fraction form
    645,415.50/1,418,217 = 1,418,217/x
  3. Step 3: Cross multiply
    645,415.50x = 1,418,217 × 1,418,217
  4. Step 4: Simplify right side
    645,415.50x = 2,011,339,459,089
  5. Step 5: Solve for x
    x = 2,011,339,459,089/645,415.50
  6. Step 6: Final answer
    x = 3,116,348.24

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Why These Related Problems?

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