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Finding the Third Proportional to 595,773 and 1,276,832

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Solution

The third proportional to 595,773 and 1,276,832 is: 2,736,444.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,773 : 1,276,832 = 1,276,832 : x
  2. Step 2: Convert to fraction form
    595,773/1,276,832 = 1,276,832/x
  3. Step 3: Cross multiply
    595,773x = 1,276,832 × 1,276,832
  4. Step 4: Simplify right side
    595,773x = 1,630,299,956,224
  5. Step 5: Solve for x
    x = 1,630,299,956,224/595,773
  6. Step 6: Final answer
    x = 2,736,444.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.