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Finding the Third Proportional to 403,569 and 848,934

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Solution

The third proportional to 403,569 and 848,934 is: 1,785,788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,569 : 848,934 = 848,934 : x
  2. Step 2: Convert to fraction form
    403,569/848,934 = 848,934/x
  3. Step 3: Cross multiply
    403,569x = 848,934 × 848,934
  4. Step 4: Simplify right side
    403,569x = 720,688,936,356
  5. Step 5: Solve for x
    x = 720,688,936,356/403,569
  6. Step 6: Final answer
    x = 1,785,788.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.