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Finding the Third Proportional to 2,272,006 and 4,863,174

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Solution

The third proportional to 2,272,006 and 4,863,174 is: 10,409,506.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272,006 : 4,863,174 = 4,863,174 : x
  2. Step 2: Convert to fraction form
    2,272,006/4,863,174 = 4,863,174/x
  3. Step 3: Cross multiply
    2,272,006x = 4,863,174 × 4,863,174
  4. Step 4: Simplify right side
    2,272,006x = 23,650,461,354,276
  5. Step 5: Solve for x
    x = 23,650,461,354,276/2,272,006
  6. Step 6: Final answer
    x = 10,409,506.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.