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Finding the Third Proportional to 1,873,968 and 4,167,104

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Solution

The third proportional to 1,873,968 and 4,167,104 is: 9,266,303.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873,968 : 4,167,104 = 4,167,104 : x
  2. Step 2: Convert to fraction form
    1,873,968/4,167,104 = 4,167,104/x
  3. Step 3: Cross multiply
    1,873,968x = 4,167,104 × 4,167,104
  4. Step 4: Simplify right side
    1,873,968x = 17,364,755,746,816
  5. Step 5: Solve for x
    x = 17,364,755,746,816/1,873,968
  6. Step 6: Final answer
    x = 9,266,303.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.