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Finding the Third Proportional to 2,962,010 and 6,459,232

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Solution

The third proportional to 2,962,010 and 6,459,232 is: 14,085,596.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962,010 : 6,459,232 = 6,459,232 : x
  2. Step 2: Convert to fraction form
    2,962,010/6,459,232 = 6,459,232/x
  3. Step 3: Cross multiply
    2,962,010x = 6,459,232 × 6,459,232
  4. Step 4: Simplify right side
    2,962,010x = 41,721,678,029,824
  5. Step 5: Solve for x
    x = 41,721,678,029,824/2,962,010
  6. Step 6: Final answer
    x = 14,085,596.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.