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Finding the Third Proportional to 788,911 and 1,727,993

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Solution

The third proportional to 788,911 and 1,727,993 is: 3,784,913.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,911 : 1,727,993 = 1,727,993 : x
  2. Step 2: Convert to fraction form
    788,911/1,727,993 = 1,727,993/x
  3. Step 3: Cross multiply
    788,911x = 1,727,993 × 1,727,993
  4. Step 4: Simplify right side
    788,911x = 2,985,959,808,049
  5. Step 5: Solve for x
    x = 2,985,959,808,049/788,911
  6. Step 6: Final answer
    x = 3,784,913.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.