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Finding the Third Proportional to 931,182.75 and 2,041,213.50

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Solution

The third proportional to 931,182.75 and 2,041,213.50 is: 4,474,473.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,182.75 : 2,041,213.50 = 2,041,213.50 : x
  2. Step 2: Convert to fraction form
    931,182.75/2,041,213.50 = 2,041,213.50/x
  3. Step 3: Cross multiply
    931,182.75x = 2,041,213.50 × 2,041,213.50
  4. Step 4: Simplify right side
    931,182.75x = 4,166,552,552,582.25
  5. Step 5: Solve for x
    x = 4,166,552,552,582.25/931,182.75
  6. Step 6: Final answer
    x = 4,474,473.52

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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.