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Finding the Third Proportional to 1,836,324 and 3,977,576

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Solution

The third proportional to 1,836,324 and 3,977,576 is: 8,615,642.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836,324 : 3,977,576 = 3,977,576 : x
  2. Step 2: Convert to fraction form
    1,836,324/3,977,576 = 3,977,576/x
  3. Step 3: Cross multiply
    1,836,324x = 3,977,576 × 3,977,576
  4. Step 4: Simplify right side
    1,836,324x = 15,821,110,835,776
  5. Step 5: Solve for x
    x = 15,821,110,835,776/1,836,324
  6. Step 6: Final answer
    x = 8,615,642.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.