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Finding the Third Proportional to 2,960,220 and 6,468,280

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Solution

The third proportional to 2,960,220 and 6,468,280 is: 14,133,627.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960,220 : 6,468,280 = 6,468,280 : x
  2. Step 2: Convert to fraction form
    2,960,220/6,468,280 = 6,468,280/x
  3. Step 3: Cross multiply
    2,960,220x = 6,468,280 × 6,468,280
  4. Step 4: Simplify right side
    2,960,220x = 41,838,646,158,400
  5. Step 5: Solve for x
    x = 41,838,646,158,400/2,960,220
  6. Step 6: Final answer
    x = 14,133,627.28

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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.