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Finding the Third Proportional to 869,930 and 1,225,035

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Solution

The third proportional to 869,930 and 1,225,035 is: 1,725,093.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,930 : 1,225,035 = 1,225,035 : x
  2. Step 2: Convert to fraction form
    869,930/1,225,035 = 1,225,035/x
  3. Step 3: Cross multiply
    869,930x = 1,225,035 × 1,225,035
  4. Step 4: Simplify right side
    869,930x = 1,500,710,751,225
  5. Step 5: Solve for x
    x = 1,500,710,751,225/869,930
  6. Step 6: Final answer
    x = 1,725,093.69

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.