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Finding the Third Proportional to 1,095,057 and 2,358,596.25

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Solution

The third proportional to 1,095,057 and 2,358,596.25 is: 5,080,079.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095,057 : 2,358,596.25 = 2,358,596.25 : x
  2. Step 2: Convert to fraction form
    1,095,057/2,358,596.25 = 2,358,596.25/x
  3. Step 3: Cross multiply
    1,095,057x = 2,358,596.25 × 2,358,596.25
  4. Step 4: Simplify right side
    1,095,057x = 5,562,976,270,514.06
  5. Step 5: Solve for x
    x = 5,562,976,270,514.06/1,095,057
  6. Step 6: Final answer
    x = 5,080,079.18

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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.