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Finding the Third Proportional to 577,848 and 1,244,634

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Solution

The third proportional to 577,848 and 1,244,634 is: 2,680,832.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,848 : 1,244,634 = 1,244,634 : x
  2. Step 2: Convert to fraction form
    577,848/1,244,634 = 1,244,634/x
  3. Step 3: Cross multiply
    577,848x = 1,244,634 × 1,244,634
  4. Step 4: Simplify right side
    577,848x = 1,549,113,793,956
  5. Step 5: Solve for x
    x = 1,549,113,793,956/577,848
  6. Step 6: Final answer
    x = 2,680,832.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.