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Finding the Third Proportional to 631,878 and 1,364,898

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Solution

The third proportional to 631,878 and 1,364,898 is: 2,948,269.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,878 : 1,364,898 = 1,364,898 : x
  2. Step 2: Convert to fraction form
    631,878/1,364,898 = 1,364,898/x
  3. Step 3: Cross multiply
    631,878x = 1,364,898 × 1,364,898
  4. Step 4: Simplify right side
    631,878x = 1,862,946,550,404
  5. Step 5: Solve for x
    x = 1,862,946,550,404/631,878
  6. Step 6: Final answer
    x = 2,948,269.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.