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Finding the Third Proportional to 373,911 and 810,911

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Solution

The third proportional to 373,911 and 810,911 is: 1,758,644.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,911 : 810,911 = 810,911 : x
  2. Step 2: Convert to fraction form
    373,911/810,911 = 810,911/x
  3. Step 3: Cross multiply
    373,911x = 810,911 × 810,911
  4. Step 4: Simplify right side
    373,911x = 657,576,649,921
  5. Step 5: Solve for x
    x = 657,576,649,921/373,911
  6. Step 6: Final answer
    x = 1,758,644.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.