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Finding the Third Proportional to 1,780,576 and 3,773,028

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Solution

The third proportional to 1,780,576 and 3,773,028 is: 7,995,019.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780,576 : 3,773,028 = 3,773,028 : x
  2. Step 2: Convert to fraction form
    1,780,576/3,773,028 = 3,773,028/x
  3. Step 3: Cross multiply
    1,780,576x = 3,773,028 × 3,773,028
  4. Step 4: Simplify right side
    1,780,576x = 14,235,740,288,784
  5. Step 5: Solve for x
    x = 14,235,740,288,784/1,780,576
  6. Step 6: Final answer
    x = 7,995,019.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.