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Finding the Third Proportional to 982,257 and 1,467,334.50

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Solution

The third proportional to 982,257 and 1,467,334.50 is: 2,191,962.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,257 : 1,467,334.50 = 1,467,334.50 : x
  2. Step 2: Convert to fraction form
    982,257/1,467,334.50 = 1,467,334.50/x
  3. Step 3: Cross multiply
    982,257x = 1,467,334.50 × 1,467,334.50
  4. Step 4: Simplify right side
    982,257x = 2,153,070,534,890.25
  5. Step 5: Solve for x
    x = 2,153,070,534,890.25/982,257
  6. Step 6: Final answer
    x = 2,191,962.53

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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.