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Finding the Third Proportional to 3,407,120 and 6,914,358

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Solution

The third proportional to 3,407,120 and 6,914,358 is: 14,031,893.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407,120 : 6,914,358 = 6,914,358 : x
  2. Step 2: Convert to fraction form
    3,407,120/6,914,358 = 6,914,358/x
  3. Step 3: Cross multiply
    3,407,120x = 6,914,358 × 6,914,358
  4. Step 4: Simplify right side
    3,407,120x = 47,808,346,552,164
  5. Step 5: Solve for x
    x = 47,808,346,552,164/3,407,120
  6. Step 6: Final answer
    x = 14,031,893.96

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.