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Finding the Third Proportional to 2,884,546 and 6,155,174

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Solution

The third proportional to 2,884,546 and 6,155,174 is: 13,134,187.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884,546 : 6,155,174 = 6,155,174 : x
  2. Step 2: Convert to fraction form
    2,884,546/6,155,174 = 6,155,174/x
  3. Step 3: Cross multiply
    2,884,546x = 6,155,174 × 6,155,174
  4. Step 4: Simplify right side
    2,884,546x = 37,886,166,970,276
  5. Step 5: Solve for x
    x = 37,886,166,970,276/2,884,546
  6. Step 6: Final answer
    x = 13,134,187.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.