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Finding the Third Proportional to 1,560,054 and 2,396,853

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Solution

The third proportional to 1,560,054 and 2,396,853 is: 3,682,503.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560,054 : 2,396,853 = 2,396,853 : x
  2. Step 2: Convert to fraction form
    1,560,054/2,396,853 = 2,396,853/x
  3. Step 3: Cross multiply
    1,560,054x = 2,396,853 × 2,396,853
  4. Step 4: Simplify right side
    1,560,054x = 5,744,904,303,609
  5. Step 5: Solve for x
    x = 5,744,904,303,609/1,560,054
  6. Step 6: Final answer
    x = 3,682,503.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.