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Finding the Third Proportional to 1,011,845 and 2,154,780

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Solution

The third proportional to 1,011,845 and 2,154,780 is: 4,588,723.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,845 : 2,154,780 = 2,154,780 : x
  2. Step 2: Convert to fraction form
    1,011,845/2,154,780 = 2,154,780/x
  3. Step 3: Cross multiply
    1,011,845x = 2,154,780 × 2,154,780
  4. Step 4: Simplify right side
    1,011,845x = 4,643,076,848,400
  5. Step 5: Solve for x
    x = 4,643,076,848,400/1,011,845
  6. Step 6: Final answer
    x = 4,588,723.42

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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.