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Finding the Third Proportional to 962,784 and 2,054,400

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Solution

The third proportional to 962,784 and 2,054,400 is: 4,383,703.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,784 : 2,054,400 = 2,054,400 : x
  2. Step 2: Convert to fraction form
    962,784/2,054,400 = 2,054,400/x
  3. Step 3: Cross multiply
    962,784x = 2,054,400 × 2,054,400
  4. Step 4: Simplify right side
    962,784x = 4,220,559,360,000
  5. Step 5: Solve for x
    x = 4,220,559,360,000/962,784
  6. Step 6: Final answer
    x = 4,383,703.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.