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Finding the Third Proportional to 681,774 and 1,487,964

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Solution

The third proportional to 681,774 and 1,487,964 is: 3,247,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,774 : 1,487,964 = 1,487,964 : x
  2. Step 2: Convert to fraction form
    681,774/1,487,964 = 1,487,964/x
  3. Step 3: Cross multiply
    681,774x = 1,487,964 × 1,487,964
  4. Step 4: Simplify right side
    681,774x = 2,214,036,865,296
  5. Step 5: Solve for x
    x = 2,214,036,865,296/681,774
  6. Step 6: Final answer
    x = 3,247,464.50

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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.