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Finding the Third Proportional to 4,576,238 and 6,208,083

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Solution

The third proportional to 4,576,238 and 6,208,083 is: 8,421,829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576,238 : 6,208,083 = 6,208,083 : x
  2. Step 2: Convert to fraction form
    4,576,238/6,208,083 = 6,208,083/x
  3. Step 3: Cross multiply
    4,576,238x = 6,208,083 × 6,208,083
  4. Step 4: Simplify right side
    4,576,238x = 38,540,294,534,889
  5. Step 5: Solve for x
    x = 38,540,294,534,889/4,576,238
  6. Step 6: Final answer
    x = 8,421,829.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.