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Finding the Third Proportional to 1,102,106 and 2,336,476

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Solution

The third proportional to 1,102,106 and 2,336,476 is: 4,953,353.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,106 : 2,336,476 = 2,336,476 : x
  2. Step 2: Convert to fraction form
    1,102,106/2,336,476 = 2,336,476/x
  3. Step 3: Cross multiply
    1,102,106x = 2,336,476 × 2,336,476
  4. Step 4: Simplify right side
    1,102,106x = 5,459,120,098,576
  5. Step 5: Solve for x
    x = 5,459,120,098,576/1,102,106
  6. Step 6: Final answer
    x = 4,953,353.03

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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.