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Finding the Third Proportional to 838,467 and 1,809,774

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Solution

The third proportional to 838,467 and 1,809,774 is: 3,906,274.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,467 : 1,809,774 = 1,809,774 : x
  2. Step 2: Convert to fraction form
    838,467/1,809,774 = 1,809,774/x
  3. Step 3: Cross multiply
    838,467x = 1,809,774 × 1,809,774
  4. Step 4: Simplify right side
    838,467x = 3,275,281,931,076
  5. Step 5: Solve for x
    x = 3,275,281,931,076/838,467
  6. Step 6: Final answer
    x = 3,906,274.11

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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.