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Finding the Third Proportional to 3,218,014 and 4,771,361

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Solution

The third proportional to 3,218,014 and 4,771,361 is: 7,074,514.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218,014 : 4,771,361 = 4,771,361 : x
  2. Step 2: Convert to fraction form
    3,218,014/4,771,361 = 4,771,361/x
  3. Step 3: Cross multiply
    3,218,014x = 4,771,361 × 4,771,361
  4. Step 4: Simplify right side
    3,218,014x = 22,765,885,792,321
  5. Step 5: Solve for x
    x = 22,765,885,792,321/3,218,014
  6. Step 6: Final answer
    x = 7,074,514.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.