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Finding the Third Proportional to 2,370,864 and 3,676,608

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Solution

The third proportional to 2,370,864 and 3,676,608 is: 5,701,485.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370,864 : 3,676,608 = 3,676,608 : x
  2. Step 2: Convert to fraction form
    2,370,864/3,676,608 = 3,676,608/x
  3. Step 3: Cross multiply
    2,370,864x = 3,676,608 × 3,676,608
  4. Step 4: Simplify right side
    2,370,864x = 13,517,446,385,664
  5. Step 5: Solve for x
    x = 13,517,446,385,664/2,370,864
  6. Step 6: Final answer
    x = 5,701,485.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.