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Finding the Third Proportional to 646,986 and 1,360,901

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Solution

The third proportional to 646,986 and 1,360,901 is: 2,862,583.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,986 : 1,360,901 = 1,360,901 : x
  2. Step 2: Convert to fraction form
    646,986/1,360,901 = 1,360,901/x
  3. Step 3: Cross multiply
    646,986x = 1,360,901 × 1,360,901
  4. Step 4: Simplify right side
    646,986x = 1,852,051,531,801
  5. Step 5: Solve for x
    x = 1,852,051,531,801/646,986
  6. Step 6: Final answer
    x = 2,862,583.63

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.