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Finding the Third Proportional to 693,724 and 1,463,364

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Solution

The third proportional to 693,724 and 1,463,364 is: 3,086,867.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,724 : 1,463,364 = 1,463,364 : x
  2. Step 2: Convert to fraction form
    693,724/1,463,364 = 1,463,364/x
  3. Step 3: Cross multiply
    693,724x = 1,463,364 × 1,463,364
  4. Step 4: Simplify right side
    693,724x = 2,141,434,196,496
  5. Step 5: Solve for x
    x = 2,141,434,196,496/693,724
  6. Step 6: Final answer
    x = 3,086,867.68

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.