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Finding the Third Proportional to 1,785,744 and 4,214,700

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Solution

The third proportional to 1,785,744 and 4,214,700 is: 9,947,504.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785,744 : 4,214,700 = 4,214,700 : x
  2. Step 2: Convert to fraction form
    1,785,744/4,214,700 = 4,214,700/x
  3. Step 3: Cross multiply
    1,785,744x = 4,214,700 × 4,214,700
  4. Step 4: Simplify right side
    1,785,744x = 17,763,696,090,000
  5. Step 5: Solve for x
    x = 17,763,696,090,000/1,785,744
  6. Step 6: Final answer
    x = 9,947,504.28

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.