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Finding the Third Proportional to 2,854,764 and 4,168,239.75

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Solution

The third proportional to 2,854,764 and 4,168,239.75 is: 6,086,045.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854,764 : 4,168,239.75 = 4,168,239.75 : x
  2. Step 2: Convert to fraction form
    2,854,764/4,168,239.75 = 4,168,239.75/x
  3. Step 3: Cross multiply
    2,854,764x = 4,168,239.75 × 4,168,239.75
  4. Step 4: Simplify right side
    2,854,764x = 17,374,222,613,480.06
  5. Step 5: Solve for x
    x = 17,374,222,613,480.06/2,854,764
  6. Step 6: Final answer
    x = 6,086,045.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.