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Finding the Third Proportional to 762,774 and 1,645,500

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Solution

The third proportional to 762,774 and 1,645,500 is: 3,549,767.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,774 : 1,645,500 = 1,645,500 : x
  2. Step 2: Convert to fraction form
    762,774/1,645,500 = 1,645,500/x
  3. Step 3: Cross multiply
    762,774x = 1,645,500 × 1,645,500
  4. Step 4: Simplify right side
    762,774x = 2,707,670,250,000
  5. Step 5: Solve for x
    x = 2,707,670,250,000/762,774
  6. Step 6: Final answer
    x = 3,549,767.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.