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Finding the Third Proportional to 806,097 and 1,759,557

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Solution

The third proportional to 806,097 and 1,759,557 is: 3,840,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,097 : 1,759,557 = 1,759,557 : x
  2. Step 2: Convert to fraction form
    806,097/1,759,557 = 1,759,557/x
  3. Step 3: Cross multiply
    806,097x = 1,759,557 × 1,759,557
  4. Step 4: Simplify right side
    806,097x = 3,096,040,836,249
  5. Step 5: Solve for x
    x = 3,096,040,836,249/806,097
  6. Step 6: Final answer
    x = 3,840,779.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.