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Finding the Third Proportional to 969,618.41 and 1,455,747.50

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Solution

The third proportional to 969,618.41 and 1,455,747.50 is: 2,185,602.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,618.41 : 1,455,747.50 = 1,455,747.50 : x
  2. Step 2: Convert to fraction form
    969,618.41/1,455,747.50 = 1,455,747.50/x
  3. Step 3: Cross multiply
    969,618.41x = 1,455,747.50 × 1,455,747.50
  4. Step 4: Simplify right side
    969,618.41x = 2,119,200,795,129.13
  5. Step 5: Solve for x
    x = 2,119,200,795,129.13/969,618.41
  6. Step 6: Final answer
    x = 2,185,602.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.