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Finding the Third Proportional to 1,699,623 and 3,670,695

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Solution

The third proportional to 1,699,623 and 3,670,695 is: 7,927,641.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699,623 : 3,670,695 = 3,670,695 : x
  2. Step 2: Convert to fraction form
    1,699,623/3,670,695 = 3,670,695/x
  3. Step 3: Cross multiply
    1,699,623x = 3,670,695 × 3,670,695
  4. Step 4: Simplify right side
    1,699,623x = 13,474,001,783,025
  5. Step 5: Solve for x
    x = 13,474,001,783,025/1,699,623
  6. Step 6: Final answer
    x = 7,927,641.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.