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Finding the Third Proportional to 986,622 and 1,475,970

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Solution

The third proportional to 986,622 and 1,475,970 is: 2,208,026.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,622 : 1,475,970 = 1,475,970 : x
  2. Step 2: Convert to fraction form
    986,622/1,475,970 = 1,475,970/x
  3. Step 3: Cross multiply
    986,622x = 1,475,970 × 1,475,970
  4. Step 4: Simplify right side
    986,622x = 2,178,487,440,900
  5. Step 5: Solve for x
    x = 2,178,487,440,900/986,622
  6. Step 6: Final answer
    x = 2,208,026.42

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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.