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Finding the Third Proportional to 779,396 and 1,674,824

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Solution

The third proportional to 779,396 and 1,674,824 is: 3,598,986.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,396 : 1,674,824 = 1,674,824 : x
  2. Step 2: Convert to fraction form
    779,396/1,674,824 = 1,674,824/x
  3. Step 3: Cross multiply
    779,396x = 1,674,824 × 1,674,824
  4. Step 4: Simplify right side
    779,396x = 2,805,035,430,976
  5. Step 5: Solve for x
    x = 2,805,035,430,976/779,396
  6. Step 6: Final answer
    x = 3,598,986.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.