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Finding the Third Proportional to 647,484.75 and 1,423,455.75

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Solution

The third proportional to 647,484.75 and 1,423,455.75 is: 3,129,380.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,484.75 : 1,423,455.75 = 1,423,455.75 : x
  2. Step 2: Convert to fraction form
    647,484.75/1,423,455.75 = 1,423,455.75/x
  3. Step 3: Cross multiply
    647,484.75x = 1,423,455.75 × 1,423,455.75
  4. Step 4: Simplify right side
    647,484.75x = 2,026,226,272,208.06
  5. Step 5: Solve for x
    x = 2,026,226,272,208.06/647,484.75
  6. Step 6: Final answer
    x = 3,129,380.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.