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Finding the Third Proportional to 643,856 and 1,370,880

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Solution

The third proportional to 643,856 and 1,370,880 is: 2,918,838.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,856 : 1,370,880 = 1,370,880 : x
  2. Step 2: Convert to fraction form
    643,856/1,370,880 = 1,370,880/x
  3. Step 3: Cross multiply
    643,856x = 1,370,880 × 1,370,880
  4. Step 4: Simplify right side
    643,856x = 1,879,311,974,400
  5. Step 5: Solve for x
    x = 1,879,311,974,400/643,856
  6. Step 6: Final answer
    x = 2,918,838.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.