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Finding the Third Proportional to 966,424.50 and 2,124,009

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Solution

The third proportional to 966,424.50 and 2,124,009 is: 4,668,149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,424.50 : 2,124,009 = 2,124,009 : x
  2. Step 2: Convert to fraction form
    966,424.50/2,124,009 = 2,124,009/x
  3. Step 3: Cross multiply
    966,424.50x = 2,124,009 × 2,124,009
  4. Step 4: Simplify right side
    966,424.50x = 4,511,414,232,081
  5. Step 5: Solve for x
    x = 4,511,414,232,081/966,424.50
  6. Step 6: Final answer
    x = 4,668,149.69

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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.