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Finding the Third Proportional to 1,663,738 and 3,406,172

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Solution

The third proportional to 1,663,738 and 3,406,172 is: 6,973,458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663,738 : 3,406,172 = 3,406,172 : x
  2. Step 2: Convert to fraction form
    1,663,738/3,406,172 = 3,406,172/x
  3. Step 3: Cross multiply
    1,663,738x = 3,406,172 × 3,406,172
  4. Step 4: Simplify right side
    1,663,738x = 11,602,007,693,584
  5. Step 5: Solve for x
    x = 11,602,007,693,584/1,663,738
  6. Step 6: Final answer
    x = 6,973,458.38

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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.