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Finding the Third Proportional to 646,646 and 1,403,884

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Solution

The third proportional to 646,646 and 1,403,884 is: 3,047,865.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,646 : 1,403,884 = 1,403,884 : x
  2. Step 2: Convert to fraction form
    646,646/1,403,884 = 1,403,884/x
  3. Step 3: Cross multiply
    646,646x = 1,403,884 × 1,403,884
  4. Step 4: Simplify right side
    646,646x = 1,970,890,285,456
  5. Step 5: Solve for x
    x = 1,970,890,285,456/646,646
  6. Step 6: Final answer
    x = 3,047,865.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.