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Finding the Third Proportional to 662,447 and 993,641

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Solution

The third proportional to 662,447 and 993,641 is: 1,490,417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,447 : 993,641 = 993,641 : x
  2. Step 2: Convert to fraction form
    662,447/993,641 = 993,641/x
  3. Step 3: Cross multiply
    662,447x = 993,641 × 993,641
  4. Step 4: Simplify right side
    662,447x = 987,322,436,881
  5. Step 5: Solve for x
    x = 987,322,436,881/662,447
  6. Step 6: Final answer
    x = 1,490,417.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.