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Finding the Third Proportional to 2,959,176 and 6,466,236

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Solution

The third proportional to 2,959,176 and 6,466,236 is: 14,129,679.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959,176 : 6,466,236 = 6,466,236 : x
  2. Step 2: Convert to fraction form
    2,959,176/6,466,236 = 6,466,236/x
  3. Step 3: Cross multiply
    2,959,176x = 6,466,236 × 6,466,236
  4. Step 4: Simplify right side
    2,959,176x = 41,812,208,007,696
  5. Step 5: Solve for x
    x = 41,812,208,007,696/2,959,176
  6. Step 6: Final answer
    x = 14,129,679.35

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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.