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Finding the Third Proportional to 377,774 and 822,010

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Solution

The third proportional to 377,774 and 822,010 is: 1,788,636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,774 : 822,010 = 822,010 : x
  2. Step 2: Convert to fraction form
    377,774/822,010 = 822,010/x
  3. Step 3: Cross multiply
    377,774x = 822,010 × 822,010
  4. Step 4: Simplify right side
    377,774x = 675,700,440,100
  5. Step 5: Solve for x
    x = 675,700,440,100/377,774
  6. Step 6: Final answer
    x = 1,788,636.70

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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.