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Finding the Third Proportional to 2,960,800 and 6,370,664

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Solution

The third proportional to 2,960,800 and 6,370,664 is: 13,707,565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960,800 : 6,370,664 = 6,370,664 : x
  2. Step 2: Convert to fraction form
    2,960,800/6,370,664 = 6,370,664/x
  3. Step 3: Cross multiply
    2,960,800x = 6,370,664 × 6,370,664
  4. Step 4: Simplify right side
    2,960,800x = 40,585,359,800,896
  5. Step 5: Solve for x
    x = 40,585,359,800,896/2,960,800
  6. Step 6: Final answer
    x = 13,707,565.46

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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.