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Finding the Third Proportional to 416,178 and 895,482

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Solution

The third proportional to 416,178 and 895,482 is: 1,926,790.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,178 : 895,482 = 895,482 : x
  2. Step 2: Convert to fraction form
    416,178/895,482 = 895,482/x
  3. Step 3: Cross multiply
    416,178x = 895,482 × 895,482
  4. Step 4: Simplify right side
    416,178x = 801,888,012,324
  5. Step 5: Solve for x
    x = 801,888,012,324/416,178
  6. Step 6: Final answer
    x = 1,926,790.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.