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Finding the Third Proportional to 1,419,903 and 3,056,319

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Solution

The third proportional to 1,419,903 and 3,056,319 is: 6,578,678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,903 : 3,056,319 = 3,056,319 : x
  2. Step 2: Convert to fraction form
    1,419,903/3,056,319 = 3,056,319/x
  3. Step 3: Cross multiply
    1,419,903x = 3,056,319 × 3,056,319
  4. Step 4: Simplify right side
    1,419,903x = 9,341,085,829,761
  5. Step 5: Solve for x
    x = 9,341,085,829,761/1,419,903
  6. Step 6: Final answer
    x = 6,578,678.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.