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Finding the Third Proportional to 779,720 and 1,620,736

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Solution

The third proportional to 779,720 and 1,620,736 is: 3,368,882.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,720 : 1,620,736 = 1,620,736 : x
  2. Step 2: Convert to fraction form
    779,720/1,620,736 = 1,620,736/x
  3. Step 3: Cross multiply
    779,720x = 1,620,736 × 1,620,736
  4. Step 4: Simplify right side
    779,720x = 2,626,785,181,696
  5. Step 5: Solve for x
    x = 2,626,785,181,696/779,720
  6. Step 6: Final answer
    x = 3,368,882.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.