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Finding the Third Proportional to 2,835,380 and 6,221,929

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Solution

The third proportional to 2,835,380 and 6,221,929 is: 13,653,337.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835,380 : 6,221,929 = 6,221,929 : x
  2. Step 2: Convert to fraction form
    2,835,380/6,221,929 = 6,221,929/x
  3. Step 3: Cross multiply
    2,835,380x = 6,221,929 × 6,221,929
  4. Step 4: Simplify right side
    2,835,380x = 38,712,400,481,041
  5. Step 5: Solve for x
    x = 38,712,400,481,041/2,835,380
  6. Step 6: Final answer
    x = 13,653,337.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.