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Finding the Third Proportional to 574,644 and 909,474

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Solution

The third proportional to 574,644 and 909,474 is: 1,439,400.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,644 : 909,474 = 909,474 : x
  2. Step 2: Convert to fraction form
    574,644/909,474 = 909,474/x
  3. Step 3: Cross multiply
    574,644x = 909,474 × 909,474
  4. Step 4: Simplify right side
    574,644x = 827,142,956,676
  5. Step 5: Solve for x
    x = 827,142,956,676/574,644
  6. Step 6: Final answer
    x = 1,439,400.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.