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Finding the Third Proportional to 2,119,024 and 4,641,137

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Solution

The third proportional to 2,119,024 and 4,641,137 is: 10,165,129.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119,024 : 4,641,137 = 4,641,137 : x
  2. Step 2: Convert to fraction form
    2,119,024/4,641,137 = 4,641,137/x
  3. Step 3: Cross multiply
    2,119,024x = 4,641,137 × 4,641,137
  4. Step 4: Simplify right side
    2,119,024x = 21,540,152,652,769
  5. Step 5: Solve for x
    x = 21,540,152,652,769/2,119,024
  6. Step 6: Final answer
    x = 10,165,129.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.