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Finding the Third Proportional to 2,103,560 and 4,605,148

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Solution

The third proportional to 2,103,560 and 4,605,148 is: 10,081,665.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103,560 : 4,605,148 = 4,605,148 : x
  2. Step 2: Convert to fraction form
    2,103,560/4,605,148 = 4,605,148/x
  3. Step 3: Cross multiply
    2,103,560x = 4,605,148 × 4,605,148
  4. Step 4: Simplify right side
    2,103,560x = 21,207,388,101,904
  5. Step 5: Solve for x
    x = 21,207,388,101,904/2,103,560
  6. Step 6: Final answer
    x = 10,081,665.42

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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.