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Finding the Third Proportional to 923,080 and 1,993,782.50

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Solution

The third proportional to 923,080 and 1,993,782.50 is: 4,306,418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,080 : 1,993,782.50 = 1,993,782.50 : x
  2. Step 2: Convert to fraction form
    923,080/1,993,782.50 = 1,993,782.50/x
  3. Step 3: Cross multiply
    923,080x = 1,993,782.50 × 1,993,782.50
  4. Step 4: Simplify right side
    923,080x = 3,975,168,657,306.25
  5. Step 5: Solve for x
    x = 3,975,168,657,306.25/923,080
  6. Step 6: Final answer
    x = 4,306,418.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.