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Finding the Third Proportional to 609,659 and 1,411,789

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Solution

The third proportional to 609,659 and 1,411,789 is: 3,269,283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,659 : 1,411,789 = 1,411,789 : x
  2. Step 2: Convert to fraction form
    609,659/1,411,789 = 1,411,789/x
  3. Step 3: Cross multiply
    609,659x = 1,411,789 × 1,411,789
  4. Step 4: Simplify right side
    609,659x = 1,993,148,180,521
  5. Step 5: Solve for x
    x = 1,993,148,180,521/609,659
  6. Step 6: Final answer
    x = 3,269,283.62

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.