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Finding the Third Proportional to 2,959,184 and 4,345,434

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Solution

The third proportional to 2,959,184 and 4,345,434 is: 6,381,082.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959,184 : 4,345,434 = 4,345,434 : x
  2. Step 2: Convert to fraction form
    2,959,184/4,345,434 = 4,345,434/x
  3. Step 3: Cross multiply
    2,959,184x = 4,345,434 × 4,345,434
  4. Step 4: Simplify right side
    2,959,184x = 18,882,796,648,356
  5. Step 5: Solve for x
    x = 18,882,796,648,356/2,959,184
  6. Step 6: Final answer
    x = 6,381,082.30

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.