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Finding the Third Proportional to 813,813 and 1,767,729

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Solution

The third proportional to 813,813 and 1,767,729 is: 3,839,783.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,813 : 1,767,729 = 1,767,729 : x
  2. Step 2: Convert to fraction form
    813,813/1,767,729 = 1,767,729/x
  3. Step 3: Cross multiply
    813,813x = 1,767,729 × 1,767,729
  4. Step 4: Simplify right side
    813,813x = 3,124,865,817,441
  5. Step 5: Solve for x
    x = 3,124,865,817,441/813,813
  6. Step 6: Final answer
    x = 3,839,783.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.