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Finding the Third Proportional to 1,963,124 and 4,206,184

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Solution

The third proportional to 1,963,124 and 4,206,184 is: 9,012,158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963,124 : 4,206,184 = 4,206,184 : x
  2. Step 2: Convert to fraction form
    1,963,124/4,206,184 = 4,206,184/x
  3. Step 3: Cross multiply
    1,963,124x = 4,206,184 × 4,206,184
  4. Step 4: Simplify right side
    1,963,124x = 17,691,983,841,856
  5. Step 5: Solve for x
    x = 17,691,983,841,856/1,963,124
  6. Step 6: Final answer
    x = 9,012,158.09

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.