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Finding the Third Proportional to 1,748,576 and 3,762,873

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Solution

The third proportional to 1,748,576 and 3,762,873 is: 8,097,568.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748,576 : 3,762,873 = 3,762,873 : x
  2. Step 2: Convert to fraction form
    1,748,576/3,762,873 = 3,762,873/x
  3. Step 3: Cross multiply
    1,748,576x = 3,762,873 × 3,762,873
  4. Step 4: Simplify right side
    1,748,576x = 14,159,213,214,129
  5. Step 5: Solve for x
    x = 14,159,213,214,129/1,748,576
  6. Step 6: Final answer
    x = 8,097,568.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.