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Finding the Third Proportional to 1,069,051.50 and 2,226,249

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Solution

The third proportional to 1,069,051.50 and 2,226,249 is: 4,636,057.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,051.50 : 2,226,249 = 2,226,249 : x
  2. Step 2: Convert to fraction form
    1,069,051.50/2,226,249 = 2,226,249/x
  3. Step 3: Cross multiply
    1,069,051.50x = 2,226,249 × 2,226,249
  4. Step 4: Simplify right side
    1,069,051.50x = 4,956,184,610,001
  5. Step 5: Solve for x
    x = 4,956,184,610,001/1,069,051.50
  6. Step 6: Final answer
    x = 4,636,057.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.