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Finding the Third Proportional to 437,419 and 909,739

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Solution

The third proportional to 437,419 and 909,739 is: 1,892,064.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,419 : 909,739 = 909,739 : x
  2. Step 2: Convert to fraction form
    437,419/909,739 = 909,739/x
  3. Step 3: Cross multiply
    437,419x = 909,739 × 909,739
  4. Step 4: Simplify right side
    437,419x = 827,625,048,121
  5. Step 5: Solve for x
    x = 827,625,048,121/437,419
  6. Step 6: Final answer
    x = 1,892,064.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.