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Finding the Third Proportional to 1,959,372 and 2,968,582

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Solution

The third proportional to 1,959,372 and 2,968,582 is: 4,497,603.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959,372 : 2,968,582 = 2,968,582 : x
  2. Step 2: Convert to fraction form
    1,959,372/2,968,582 = 2,968,582/x
  3. Step 3: Cross multiply
    1,959,372x = 2,968,582 × 2,968,582
  4. Step 4: Simplify right side
    1,959,372x = 8,812,479,090,724
  5. Step 5: Solve for x
    x = 8,812,479,090,724/1,959,372
  6. Step 6: Final answer
    x = 4,497,603.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.