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Finding the Third Proportional to 920,325 and 1,968,576

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Solution

The third proportional to 920,325 and 1,968,576 is: 4,210,785.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,325 : 1,968,576 = 1,968,576 : x
  2. Step 2: Convert to fraction form
    920,325/1,968,576 = 1,968,576/x
  3. Step 3: Cross multiply
    920,325x = 1,968,576 × 1,968,576
  4. Step 4: Simplify right side
    920,325x = 3,875,291,467,776
  5. Step 5: Solve for x
    x = 3,875,291,467,776/920,325
  6. Step 6: Final answer
    x = 4,210,785.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.