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Finding the Third Proportional to 430,896 and 946,464

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Solution

The third proportional to 430,896 and 946,464 is: 2,078,910.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,896 : 946,464 = 946,464 : x
  2. Step 2: Convert to fraction form
    430,896/946,464 = 946,464/x
  3. Step 3: Cross multiply
    430,896x = 946,464 × 946,464
  4. Step 4: Simplify right side
    430,896x = 895,794,103,296
  5. Step 5: Solve for x
    x = 895,794,103,296/430,896
  6. Step 6: Final answer
    x = 2,078,910.23

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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.