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Finding the Third Proportional to 823,844 and 1,784,700

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Solution

The third proportional to 823,844 and 1,784,700 is: 3,866,210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,844 : 1,784,700 = 1,784,700 : x
  2. Step 2: Convert to fraction form
    823,844/1,784,700 = 1,784,700/x
  3. Step 3: Cross multiply
    823,844x = 1,784,700 × 1,784,700
  4. Step 4: Simplify right side
    823,844x = 3,185,154,090,000
  5. Step 5: Solve for x
    x = 3,185,154,090,000/823,844
  6. Step 6: Final answer
    x = 3,866,210.22

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