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Finding the Third Proportional to 2,802,900 and 6,148,392

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Solution

The third proportional to 2,802,900 and 6,148,392 is: 13,487,004.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802,900 : 6,148,392 = 6,148,392 : x
  2. Step 2: Convert to fraction form
    2,802,900/6,148,392 = 6,148,392/x
  3. Step 3: Cross multiply
    2,802,900x = 6,148,392 × 6,148,392
  4. Step 4: Simplify right side
    2,802,900x = 37,802,724,185,664
  5. Step 5: Solve for x
    x = 37,802,724,185,664/2,802,900
  6. Step 6: Final answer
    x = 13,487,004.24

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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.