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Finding the Third Proportional to 1,602,078 and 2,479,822.50

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Solution

The third proportional to 1,602,078 and 2,479,822.50 is: 3,838,464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,078 : 2,479,822.50 = 2,479,822.50 : x
  2. Step 2: Convert to fraction form
    1,602,078/2,479,822.50 = 2,479,822.50/x
  3. Step 3: Cross multiply
    1,602,078x = 2,479,822.50 × 2,479,822.50
  4. Step 4: Simplify right side
    1,602,078x = 6,149,519,631,506.25
  5. Step 5: Solve for x
    x = 6,149,519,631,506.25/1,602,078
  6. Step 6: Final answer
    x = 3,838,464.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.