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Finding the Third Proportional to 982,362 and 1,467,475

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Solution

The third proportional to 982,362 and 1,467,475 is: 2,192,147.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,362 : 1,467,475 = 1,467,475 : x
  2. Step 2: Convert to fraction form
    982,362/1,467,475 = 1,467,475/x
  3. Step 3: Cross multiply
    982,362x = 1,467,475 × 1,467,475
  4. Step 4: Simplify right side
    982,362x = 2,153,482,875,625
  5. Step 5: Solve for x
    x = 2,153,482,875,625/982,362
  6. Step 6: Final answer
    x = 2,192,147.98

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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.