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Finding the Third Proportional to 2,553,420 and 3,959,164

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Solution

The third proportional to 2,553,420 and 3,959,164 is: 6,138,817.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553,420 : 3,959,164 = 3,959,164 : x
  2. Step 2: Convert to fraction form
    2,553,420/3,959,164 = 3,959,164/x
  3. Step 3: Cross multiply
    2,553,420x = 3,959,164 × 3,959,164
  4. Step 4: Simplify right side
    2,553,420x = 15,674,979,578,896
  5. Step 5: Solve for x
    x = 15,674,979,578,896/2,553,420
  6. Step 6: Final answer
    x = 6,138,817.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.