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Finding the Third Proportional to 1,921,410 and 4,127,736

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Solution

The third proportional to 1,921,410 and 4,127,736 is: 8,867,552.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921,410 : 4,127,736 = 4,127,736 : x
  2. Step 2: Convert to fraction form
    1,921,410/4,127,736 = 4,127,736/x
  3. Step 3: Cross multiply
    1,921,410x = 4,127,736 × 4,127,736
  4. Step 4: Simplify right side
    1,921,410x = 17,038,204,485,696
  5. Step 5: Solve for x
    x = 17,038,204,485,696/1,921,410
  6. Step 6: Final answer
    x = 8,867,552.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.