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Finding the Third Proportional to 2,863,284 and 6,174,912

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Solution

The third proportional to 2,863,284 and 6,174,912 is: 13,316,715.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863,284 : 6,174,912 = 6,174,912 : x
  2. Step 2: Convert to fraction form
    2,863,284/6,174,912 = 6,174,912/x
  3. Step 3: Cross multiply
    2,863,284x = 6,174,912 × 6,174,912
  4. Step 4: Simplify right side
    2,863,284x = 38,129,538,207,744
  5. Step 5: Solve for x
    x = 38,129,538,207,744/2,863,284
  6. Step 6: Final answer
    x = 13,316,715.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.