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Finding the Third Proportional to 788,967 and 1,728,000

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Solution

The third proportional to 788,967 and 1,728,000 is: 3,784,675.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,967 : 1,728,000 = 1,728,000 : x
  2. Step 2: Convert to fraction form
    788,967/1,728,000 = 1,728,000/x
  3. Step 3: Cross multiply
    788,967x = 1,728,000 × 1,728,000
  4. Step 4: Simplify right side
    788,967x = 2,985,984,000,000
  5. Step 5: Solve for x
    x = 2,985,984,000,000/788,967
  6. Step 6: Final answer
    x = 3,784,675.40

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.