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Finding the Third Proportional to 2,959,178 and 6,466,240

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Solution

The third proportional to 2,959,178 and 6,466,240 is: 14,129,687.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959,178 : 6,466,240 = 6,466,240 : x
  2. Step 2: Convert to fraction form
    2,959,178/6,466,240 = 6,466,240/x
  3. Step 3: Cross multiply
    2,959,178x = 6,466,240 × 6,466,240
  4. Step 4: Simplify right side
    2,959,178x = 41,812,259,737,600
  5. Step 5: Solve for x
    x = 41,812,259,737,600/2,959,178
  6. Step 6: Final answer
    x = 14,129,687.28

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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.