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Finding the Third Proportional to 785,208 and 1,184,376

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Solution

The third proportional to 785,208 and 1,184,376 is: 1,786,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,208 : 1,184,376 = 1,184,376 : x
  2. Step 2: Convert to fraction form
    785,208/1,184,376 = 1,184,376/x
  3. Step 3: Cross multiply
    785,208x = 1,184,376 × 1,184,376
  4. Step 4: Simplify right side
    785,208x = 1,402,746,509,376
  5. Step 5: Solve for x
    x = 1,402,746,509,376/785,208
  6. Step 6: Final answer
    x = 1,786,464.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.