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Finding the Third Proportional to 630,149 and 1,382,749

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Solution

The third proportional to 630,149 and 1,382,749 is: 3,034,194.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,149 : 1,382,749 = 1,382,749 : x
  2. Step 2: Convert to fraction form
    630,149/1,382,749 = 1,382,749/x
  3. Step 3: Cross multiply
    630,149x = 1,382,749 × 1,382,749
  4. Step 4: Simplify right side
    630,149x = 1,911,994,797,001
  5. Step 5: Solve for x
    x = 1,911,994,797,001/630,149
  6. Step 6: Final answer
    x = 3,034,194.77

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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.