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Finding the Third Proportional to 1,414,616 and 2,243,669

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Solution

The third proportional to 1,414,616 and 2,243,669 is: 3,558,598.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,616 : 2,243,669 = 2,243,669 : x
  2. Step 2: Convert to fraction form
    1,414,616/2,243,669 = 2,243,669/x
  3. Step 3: Cross multiply
    1,414,616x = 2,243,669 × 2,243,669
  4. Step 4: Simplify right side
    1,414,616x = 5,034,050,581,561
  5. Step 5: Solve for x
    x = 5,034,050,581,561/1,414,616
  6. Step 6: Final answer
    x = 3,558,598.65

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.