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Finding the Third Proportional to 929,927.25 and 1,971,450

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Solution

The third proportional to 929,927.25 and 1,971,450 is: 4,179,482.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,927.25 : 1,971,450 = 1,971,450 : x
  2. Step 2: Convert to fraction form
    929,927.25/1,971,450 = 1,971,450/x
  3. Step 3: Cross multiply
    929,927.25x = 1,971,450 × 1,971,450
  4. Step 4: Simplify right side
    929,927.25x = 3,886,615,102,500
  5. Step 5: Solve for x
    x = 3,886,615,102,500/929,927.25
  6. Step 6: Final answer
    x = 4,179,482.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.