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Finding the Third Proportional to 2,960,210 and 6,468,259

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Solution

The third proportional to 2,960,210 and 6,468,259 is: 14,133,583.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960,210 : 6,468,259 = 6,468,259 : x
  2. Step 2: Convert to fraction form
    2,960,210/6,468,259 = 6,468,259/x
  3. Step 3: Cross multiply
    2,960,210x = 6,468,259 × 6,468,259
  4. Step 4: Simplify right side
    2,960,210x = 41,838,374,491,081
  5. Step 5: Solve for x
    x = 41,838,374,491,081/2,960,210
  6. Step 6: Final answer
    x = 14,133,583.26

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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.