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Finding the Third Proportional to 986,000 and 2,018,728

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Solution

The third proportional to 986,000 and 2,018,728 is: 4,133,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,000 : 2,018,728 = 2,018,728 : x
  2. Step 2: Convert to fraction form
    986,000/2,018,728 = 2,018,728/x
  3. Step 3: Cross multiply
    986,000x = 2,018,728 × 2,018,728
  4. Step 4: Simplify right side
    986,000x = 4,075,262,737,984
  5. Step 5: Solve for x
    x = 4,075,262,737,984/986,000
  6. Step 6: Final answer
    x = 4,133,126.51

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.