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Finding the Third Proportional to 751,876 and 1,565,964

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Solution

The third proportional to 751,876 and 1,565,964 is: 3,261,499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,876 : 1,565,964 = 1,565,964 : x
  2. Step 2: Convert to fraction form
    751,876/1,565,964 = 1,565,964/x
  3. Step 3: Cross multiply
    751,876x = 1,565,964 × 1,565,964
  4. Step 4: Simplify right side
    751,876x = 2,452,243,249,296
  5. Step 5: Solve for x
    x = 2,452,243,249,296/751,876
  6. Step 6: Final answer
    x = 3,261,499.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.