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Finding the Third Proportional to 491,622 and 1,032,684

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Solution

The third proportional to 491,622 and 1,032,684 is: 2,169,219.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,622 : 1,032,684 = 1,032,684 : x
  2. Step 2: Convert to fraction form
    491,622/1,032,684 = 1,032,684/x
  3. Step 3: Cross multiply
    491,622x = 1,032,684 × 1,032,684
  4. Step 4: Simplify right side
    491,622x = 1,066,436,243,856
  5. Step 5: Solve for x
    x = 1,066,436,243,856/491,622
  6. Step 6: Final answer
    x = 2,169,219.94

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.