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Finding the Third Proportional to 743,193 and 1,628,784

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Solution

The third proportional to 743,193 and 1,628,784 is: 3,569,647.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,193 : 1,628,784 = 1,628,784 : x
  2. Step 2: Convert to fraction form
    743,193/1,628,784 = 1,628,784/x
  3. Step 3: Cross multiply
    743,193x = 1,628,784 × 1,628,784
  4. Step 4: Simplify right side
    743,193x = 2,652,937,318,656
  5. Step 5: Solve for x
    x = 2,652,937,318,656/743,193
  6. Step 6: Final answer
    x = 3,569,647.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.