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Finding the Third Proportional to 466,641 and 1,022,706

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Solution

The third proportional to 466,641 and 1,022,706 is: 2,241,396.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,641 : 1,022,706 = 1,022,706 : x
  2. Step 2: Convert to fraction form
    466,641/1,022,706 = 1,022,706/x
  3. Step 3: Cross multiply
    466,641x = 1,022,706 × 1,022,706
  4. Step 4: Simplify right side
    466,641x = 1,045,927,562,436
  5. Step 5: Solve for x
    x = 1,045,927,562,436/466,641
  6. Step 6: Final answer
    x = 2,241,396.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.