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Finding the Third Proportional to 3,783,062 and 6,022,514

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Solution

The third proportional to 3,783,062 and 6,022,514 is: 9,587,650.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783,062 : 6,022,514 = 6,022,514 : x
  2. Step 2: Convert to fraction form
    3,783,062/6,022,514 = 6,022,514/x
  3. Step 3: Cross multiply
    3,783,062x = 6,022,514 × 6,022,514
  4. Step 4: Simplify right side
    3,783,062x = 36,270,674,880,196
  5. Step 5: Solve for x
    x = 36,270,674,880,196/3,783,062
  6. Step 6: Final answer
    x = 9,587,650.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.