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Finding the Third Proportional to 2,946,848 and 6,441,514

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Solution

The third proportional to 2,946,848 and 6,441,514 is: 14,080,503.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946,848 : 6,441,514 = 6,441,514 : x
  2. Step 2: Convert to fraction form
    2,946,848/6,441,514 = 6,441,514/x
  3. Step 3: Cross multiply
    2,946,848x = 6,441,514 × 6,441,514
  4. Step 4: Simplify right side
    2,946,848x = 41,493,102,612,196
  5. Step 5: Solve for x
    x = 41,493,102,612,196/2,946,848
  6. Step 6: Final answer
    x = 14,080,503.17

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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.