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Finding the Third Proportional to 3,414,200 and 7,357,712

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Solution

The third proportional to 3,414,200 and 7,357,712 is: 15,856,108.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414,200 : 7,357,712 = 7,357,712 : x
  2. Step 2: Convert to fraction form
    3,414,200/7,357,712 = 7,357,712/x
  3. Step 3: Cross multiply
    3,414,200x = 7,357,712 × 7,357,712
  4. Step 4: Simplify right side
    3,414,200x = 54,135,925,874,944
  5. Step 5: Solve for x
    x = 54,135,925,874,944/3,414,200
  6. Step 6: Final answer
    x = 15,856,108.57

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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.