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Finding the Third Proportional to 643,176 and 1,374,904

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Solution

The third proportional to 643,176 and 1,374,904 is: 2,939,103.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,176 : 1,374,904 = 1,374,904 : x
  2. Step 2: Convert to fraction form
    643,176/1,374,904 = 1,374,904/x
  3. Step 3: Cross multiply
    643,176x = 1,374,904 × 1,374,904
  4. Step 4: Simplify right side
    643,176x = 1,890,361,009,216
  5. Step 5: Solve for x
    x = 1,890,361,009,216/643,176
  6. Step 6: Final answer
    x = 2,939,103.77

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.