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Finding the Third Proportional to 932,977 and 2,034,777

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Solution

The third proportional to 932,977 and 2,034,777 is: 4,437,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,977 : 2,034,777 = 2,034,777 : x
  2. Step 2: Convert to fraction form
    932,977/2,034,777 = 2,034,777/x
  3. Step 3: Cross multiply
    932,977x = 2,034,777 × 2,034,777
  4. Step 4: Simplify right side
    932,977x = 4,140,317,439,729
  5. Step 5: Solve for x
    x = 4,140,317,439,729/932,977
  6. Step 6: Final answer
    x = 4,437,748.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.