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Finding the Third Proportional to 1,684,210 and 3,620,614

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Solution

The third proportional to 1,684,210 and 3,620,614 is: 7,783,379.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,210 : 3,620,614 = 3,620,614 : x
  2. Step 2: Convert to fraction form
    1,684,210/3,620,614 = 3,620,614/x
  3. Step 3: Cross multiply
    1,684,210x = 3,620,614 × 3,620,614
  4. Step 4: Simplify right side
    1,684,210x = 13,108,845,736,996
  5. Step 5: Solve for x
    x = 13,108,845,736,996/1,684,210
  6. Step 6: Final answer
    x = 7,783,379.59

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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.