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Finding the Third Proportional to 774,370 and 1,660,838

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Solution

The third proportional to 774,370 and 1,660,838 is: 3,562,099.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,370 : 1,660,838 = 1,660,838 : x
  2. Step 2: Convert to fraction form
    774,370/1,660,838 = 1,660,838/x
  3. Step 3: Cross multiply
    774,370x = 1,660,838 × 1,660,838
  4. Step 4: Simplify right side
    774,370x = 2,758,382,862,244
  5. Step 5: Solve for x
    x = 2,758,382,862,244/774,370
  6. Step 6: Final answer
    x = 3,562,099.34

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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.