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Finding the Third Proportional to 652,896 and 1,384,176

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Solution

The third proportional to 652,896 and 1,384,176 is: 2,934,530.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,896 : 1,384,176 = 1,384,176 : x
  2. Step 2: Convert to fraction form
    652,896/1,384,176 = 1,384,176/x
  3. Step 3: Cross multiply
    652,896x = 1,384,176 × 1,384,176
  4. Step 4: Simplify right side
    652,896x = 1,915,943,198,976
  5. Step 5: Solve for x
    x = 1,915,943,198,976/652,896
  6. Step 6: Final answer
    x = 2,934,530.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.