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Finding the Third Proportional to 982,485 and 1,467,643.50

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Solution

The third proportional to 982,485 and 1,467,643.50 is: 2,192,376.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,485 : 1,467,643.50 = 1,467,643.50 : x
  2. Step 2: Convert to fraction form
    982,485/1,467,643.50 = 1,467,643.50/x
  3. Step 3: Cross multiply
    982,485x = 1,467,643.50 × 1,467,643.50
  4. Step 4: Simplify right side
    982,485x = 2,153,977,443,092.25
  5. Step 5: Solve for x
    x = 2,153,977,443,092.25/982,485
  6. Step 6: Final answer
    x = 2,192,376.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.