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Finding the Third Proportional to 1,685,303 and 2,384,652

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Solution

The third proportional to 1,685,303 and 2,384,652 is: 3,374,209.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685,303 : 2,384,652 = 2,384,652 : x
  2. Step 2: Convert to fraction form
    1,685,303/2,384,652 = 2,384,652/x
  3. Step 3: Cross multiply
    1,685,303x = 2,384,652 × 2,384,652
  4. Step 4: Simplify right side
    1,685,303x = 5,686,565,161,104
  5. Step 5: Solve for x
    x = 5,686,565,161,104/1,685,303
  6. Step 6: Final answer
    x = 3,374,209.36

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.