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Finding the Third Proportional to 797,072 and 1,720,062

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Solution

The third proportional to 797,072 and 1,720,062 is: 3,711,851.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,072 : 1,720,062 = 1,720,062 : x
  2. Step 2: Convert to fraction form
    797,072/1,720,062 = 1,720,062/x
  3. Step 3: Cross multiply
    797,072x = 1,720,062 × 1,720,062
  4. Step 4: Simplify right side
    797,072x = 2,958,613,283,844
  5. Step 5: Solve for x
    x = 2,958,613,283,844/797,072
  6. Step 6: Final answer
    x = 3,711,851.98

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Why These Related Problems?

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