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Finding the Third Proportional to 1,676,474 and 3,430,420

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Solution

The third proportional to 1,676,474 and 3,430,420 is: 7,019,364.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676,474 : 3,430,420 = 3,430,420 : x
  2. Step 2: Convert to fraction form
    1,676,474/3,430,420 = 3,430,420/x
  3. Step 3: Cross multiply
    1,676,474x = 3,430,420 × 3,430,420
  4. Step 4: Simplify right side
    1,676,474x = 11,767,781,376,400
  5. Step 5: Solve for x
    x = 11,767,781,376,400/1,676,474
  6. Step 6: Final answer
    x = 7,019,364.08

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.