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Finding the Third Proportional to 678,730 and 1,462,364

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Solution

The third proportional to 678,730 and 1,462,364 is: 3,150,749.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,730 : 1,462,364 = 1,462,364 : x
  2. Step 2: Convert to fraction form
    678,730/1,462,364 = 1,462,364/x
  3. Step 3: Cross multiply
    678,730x = 1,462,364 × 1,462,364
  4. Step 4: Simplify right side
    678,730x = 2,138,508,468,496
  5. Step 5: Solve for x
    x = 2,138,508,468,496/678,730
  6. Step 6: Final answer
    x = 3,150,749.88

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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.