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Finding the Third Proportional to 1,102,104 and 2,336,472

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Solution

The third proportional to 1,102,104 and 2,336,472 is: 4,953,345.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,104 : 2,336,472 = 2,336,472 : x
  2. Step 2: Convert to fraction form
    1,102,104/2,336,472 = 2,336,472/x
  3. Step 3: Cross multiply
    1,102,104x = 2,336,472 × 2,336,472
  4. Step 4: Simplify right side
    1,102,104x = 5,459,101,406,784
  5. Step 5: Solve for x
    x = 5,459,101,406,784/1,102,104
  6. Step 6: Final answer
    x = 4,953,345.06

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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.