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Finding the Third Proportional to 678,699 and 1,462,293

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Solution

The third proportional to 678,699 and 1,462,293 is: 3,150,587.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,699 : 1,462,293 = 1,462,293 : x
  2. Step 2: Convert to fraction form
    678,699/1,462,293 = 1,462,293/x
  3. Step 3: Cross multiply
    678,699x = 1,462,293 × 1,462,293
  4. Step 4: Simplify right side
    678,699x = 2,138,300,817,849
  5. Step 5: Solve for x
    x = 2,138,300,817,849/678,699
  6. Step 6: Final answer
    x = 3,150,587.84

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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.