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Finding the Third Proportional to 2,814,492 and 6,145,116

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Solution

The third proportional to 2,814,492 and 6,145,116 is: 13,417,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814,492 : 6,145,116 = 6,145,116 : x
  2. Step 2: Convert to fraction form
    2,814,492/6,145,116 = 6,145,116/x
  3. Step 3: Cross multiply
    2,814,492x = 6,145,116 × 6,145,116
  4. Step 4: Simplify right side
    2,814,492x = 37,762,450,653,456
  5. Step 5: Solve for x
    x = 37,762,450,653,456/2,814,492
  6. Step 6: Final answer
    x = 13,417,146.20

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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.