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Finding the Third Proportional to 436,671 and 910,683

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Solution

The third proportional to 436,671 and 910,683 is: 1,899,241.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,671 : 910,683 = 910,683 : x
  2. Step 2: Convert to fraction form
    436,671/910,683 = 910,683/x
  3. Step 3: Cross multiply
    436,671x = 910,683 × 910,683
  4. Step 4: Simplify right side
    436,671x = 829,343,526,489
  5. Step 5: Solve for x
    x = 829,343,526,489/436,671
  6. Step 6: Final answer
    x = 1,899,241.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.