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Finding the Third Proportional to 999,647 and 2,176,774

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Solution

The third proportional to 999,647 and 2,176,774 is: 4,740,018.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,647 : 2,176,774 = 2,176,774 : x
  2. Step 2: Convert to fraction form
    999,647/2,176,774 = 2,176,774/x
  3. Step 3: Cross multiply
    999,647x = 2,176,774 × 2,176,774
  4. Step 4: Simplify right side
    999,647x = 4,738,345,047,076
  5. Step 5: Solve for x
    x = 4,738,345,047,076/999,647
  6. Step 6: Final answer
    x = 4,740,018.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.