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Finding the Third Proportional to 437,430 and 909,758

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Solution

The third proportional to 437,430 and 909,758 is: 1,892,096.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,430 : 909,758 = 909,758 : x
  2. Step 2: Convert to fraction form
    437,430/909,758 = 909,758/x
  3. Step 3: Cross multiply
    437,430x = 909,758 × 909,758
  4. Step 4: Simplify right side
    437,430x = 827,659,618,564
  5. Step 5: Solve for x
    x = 827,659,618,564/437,430
  6. Step 6: Final answer
    x = 1,892,096.15

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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.