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Finding the Third Proportional to 1,785,764 and 4,214,750

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Solution

The third proportional to 1,785,764 and 4,214,750 is: 9,947,628.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785,764 : 4,214,750 = 4,214,750 : x
  2. Step 2: Convert to fraction form
    1,785,764/4,214,750 = 4,214,750/x
  3. Step 3: Cross multiply
    1,785,764x = 4,214,750 × 4,214,750
  4. Step 4: Simplify right side
    1,785,764x = 17,764,117,562,500
  5. Step 5: Solve for x
    x = 17,764,117,562,500/1,785,764
  6. Step 6: Final answer
    x = 9,947,628.89

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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.