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Finding the Third Proportional to 411,336 and 901,368

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Solution

The third proportional to 411,336 and 901,368 is: 1,975,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,336 : 901,368 = 901,368 : x
  2. Step 2: Convert to fraction form
    411,336/901,368 = 901,368/x
  3. Step 3: Cross multiply
    411,336x = 901,368 × 901,368
  4. Step 4: Simplify right side
    411,336x = 812,464,271,424
  5. Step 5: Solve for x
    x = 812,464,271,424/411,336
  6. Step 6: Final answer
    x = 1,975,183.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.