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Finding the Third Proportional to 1,728,844.50 and 2,537,189.25

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Solution

The third proportional to 1,728,844.50 and 2,537,189.25 is: 3,723,486.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728,844.50 : 2,537,189.25 = 2,537,189.25 : x
  2. Step 2: Convert to fraction form
    1,728,844.50/2,537,189.25 = 2,537,189.25/x
  3. Step 3: Cross multiply
    1,728,844.50x = 2,537,189.25 × 2,537,189.25
  4. Step 4: Simplify right side
    1,728,844.50x = 6,437,329,290,315.56
  5. Step 5: Solve for x
    x = 6,437,329,290,315.56/1,728,844.50
  6. Step 6: Final answer
    x = 3,723,486.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.