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Finding the Third Proportional to 646,652 and 1,409,116

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Solution

The third proportional to 646,652 and 1,409,116 is: 3,070,597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,652 : 1,409,116 = 1,409,116 : x
  2. Step 2: Convert to fraction form
    646,652/1,409,116 = 1,409,116/x
  3. Step 3: Cross multiply
    646,652x = 1,409,116 × 1,409,116
  4. Step 4: Simplify right side
    646,652x = 1,985,607,901,456
  5. Step 5: Solve for x
    x = 1,985,607,901,456/646,652
  6. Step 6: Final answer
    x = 3,070,597.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.