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Finding the Third Proportional to 846,022 and 1,295,790

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Solution

The third proportional to 846,022 and 1,295,790 is: 1,984,666.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,022 : 1,295,790 = 1,295,790 : x
  2. Step 2: Convert to fraction form
    846,022/1,295,790 = 1,295,790/x
  3. Step 3: Cross multiply
    846,022x = 1,295,790 × 1,295,790
  4. Step 4: Simplify right side
    846,022x = 1,679,071,724,100
  5. Step 5: Solve for x
    x = 1,679,071,724,100/846,022
  6. Step 6: Final answer
    x = 1,984,666.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.