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Finding the Third Proportional to 384,784 and 848,354

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Solution

The third proportional to 384,784 and 848,354 is: 1,870,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,784 : 848,354 = 848,354 : x
  2. Step 2: Convert to fraction form
    384,784/848,354 = 848,354/x
  3. Step 3: Cross multiply
    384,784x = 848,354 × 848,354
  4. Step 4: Simplify right side
    384,784x = 719,704,509,316
  5. Step 5: Solve for x
    x = 719,704,509,316/384,784
  6. Step 6: Final answer
    x = 1,870,411.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.