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Finding the Third Proportional to 816,562 and 1,731,956

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Solution

The third proportional to 816,562 and 1,731,956 is: 3,673,538.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,562 : 1,731,956 = 1,731,956 : x
  2. Step 2: Convert to fraction form
    816,562/1,731,956 = 1,731,956/x
  3. Step 3: Cross multiply
    816,562x = 1,731,956 × 1,731,956
  4. Step 4: Simplify right side
    816,562x = 2,999,671,585,936
  5. Step 5: Solve for x
    x = 2,999,671,585,936/816,562
  6. Step 6: Final answer
    x = 3,673,538.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.