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Finding the Third Proportional to 1,850,712 and 4,284,006

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Solution

The third proportional to 1,850,712 and 4,284,006 is: 9,916,565.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850,712 : 4,284,006 = 4,284,006 : x
  2. Step 2: Convert to fraction form
    1,850,712/4,284,006 = 4,284,006/x
  3. Step 3: Cross multiply
    1,850,712x = 4,284,006 × 4,284,006
  4. Step 4: Simplify right side
    1,850,712x = 18,352,707,408,036
  5. Step 5: Solve for x
    x = 18,352,707,408,036/1,850,712
  6. Step 6: Final answer
    x = 9,916,565.84

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.