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Finding the Third Proportional to 651,944 and 1,374,682

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Solution

The third proportional to 651,944 and 1,374,682 is: 2,898,639.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,944 : 1,374,682 = 1,374,682 : x
  2. Step 2: Convert to fraction form
    651,944/1,374,682 = 1,374,682/x
  3. Step 3: Cross multiply
    651,944x = 1,374,682 × 1,374,682
  4. Step 4: Simplify right side
    651,944x = 1,889,750,601,124
  5. Step 5: Solve for x
    x = 1,889,750,601,124/651,944
  6. Step 6: Final answer
    x = 2,898,639.46

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.