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Finding the Third Proportional to 830,928 and 1,356,696

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Solution

The third proportional to 830,928 and 1,356,696 is: 2,215,142.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,928 : 1,356,696 = 1,356,696 : x
  2. Step 2: Convert to fraction form
    830,928/1,356,696 = 1,356,696/x
  3. Step 3: Cross multiply
    830,928x = 1,356,696 × 1,356,696
  4. Step 4: Simplify right side
    830,928x = 1,840,624,036,416
  5. Step 5: Solve for x
    x = 1,840,624,036,416/830,928
  6. Step 6: Final answer
    x = 2,215,142.63

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.