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Finding the Third Proportional to 772,824 and 1,652,004

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Solution

The third proportional to 772,824 and 1,652,004 is: 3,531,356.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,824 : 1,652,004 = 1,652,004 : x
  2. Step 2: Convert to fraction form
    772,824/1,652,004 = 1,652,004/x
  3. Step 3: Cross multiply
    772,824x = 1,652,004 × 1,652,004
  4. Step 4: Simplify right side
    772,824x = 2,729,117,216,016
  5. Step 5: Solve for x
    x = 2,729,117,216,016/772,824
  6. Step 6: Final answer
    x = 3,531,356.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.