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Finding the Third Proportional to 3,146,085 and 4,858,214

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Solution

The third proportional to 3,146,085 and 4,858,214 is: 7,502,099.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146,085 : 4,858,214 = 4,858,214 : x
  2. Step 2: Convert to fraction form
    3,146,085/4,858,214 = 4,858,214/x
  3. Step 3: Cross multiply
    3,146,085x = 4,858,214 × 4,858,214
  4. Step 4: Simplify right side
    3,146,085x = 23,602,243,269,796
  5. Step 5: Solve for x
    x = 23,602,243,269,796/3,146,085
  6. Step 6: Final answer
    x = 7,502,099.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.