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Finding the Third Proportional to 947,544.25 and 2,061,108.50

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Solution

The third proportional to 947,544.25 and 2,061,108.50 is: 4,483,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,544.25 : 2,061,108.50 = 2,061,108.50 : x
  2. Step 2: Convert to fraction form
    947,544.25/2,061,108.50 = 2,061,108.50/x
  3. Step 3: Cross multiply
    947,544.25x = 2,061,108.50 × 2,061,108.50
  4. Step 4: Simplify right side
    947,544.25x = 4,248,168,248,772.25
  5. Step 5: Solve for x
    x = 4,248,168,248,772.25/947,544.25
  6. Step 6: Final answer
    x = 4,483,345.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.