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Finding the Third Proportional to 416,385 and 895,914

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Solution

The third proportional to 416,385 and 895,914 is: 1,927,691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,385 : 895,914 = 895,914 : x
  2. Step 2: Convert to fraction form
    416,385/895,914 = 895,914/x
  3. Step 3: Cross multiply
    416,385x = 895,914 × 895,914
  4. Step 4: Simplify right side
    416,385x = 802,661,895,396
  5. Step 5: Solve for x
    x = 802,661,895,396/416,385
  6. Step 6: Final answer
    x = 1,927,691.67

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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.