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Finding the Third Proportional to 1,961,539 and 4,223,653.50

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Solution

The third proportional to 1,961,539 and 4,223,653.50 is: 9,094,516.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961,539 : 4,223,653.50 = 4,223,653.50 : x
  2. Step 2: Convert to fraction form
    1,961,539/4,223,653.50 = 4,223,653.50/x
  3. Step 3: Cross multiply
    1,961,539x = 4,223,653.50 × 4,223,653.50
  4. Step 4: Simplify right side
    1,961,539x = 17,839,248,888,062.25
  5. Step 5: Solve for x
    x = 17,839,248,888,062.25/1,961,539
  6. Step 6: Final answer
    x = 9,094,516.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.