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Finding the Third Proportional to 923,087 and 1,993,798

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Solution

The third proportional to 923,087 and 1,993,798 is: 4,306,452.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,087 : 1,993,798 = 1,993,798 : x
  2. Step 2: Convert to fraction form
    923,087/1,993,798 = 1,993,798/x
  3. Step 3: Cross multiply
    923,087x = 1,993,798 × 1,993,798
  4. Step 4: Simplify right side
    923,087x = 3,975,230,464,804
  5. Step 5: Solve for x
    x = 3,975,230,464,804/923,087
  6. Step 6: Final answer
    x = 4,306,452.66

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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.