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Finding the Third Proportional to 774,360 and 1,660,786

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Solution

The third proportional to 774,360 and 1,660,786 is: 3,561,922.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,360 : 1,660,786 = 1,660,786 : x
  2. Step 2: Convert to fraction form
    774,360/1,660,786 = 1,660,786/x
  3. Step 3: Cross multiply
    774,360x = 1,660,786 × 1,660,786
  4. Step 4: Simplify right side
    774,360x = 2,758,210,137,796
  5. Step 5: Solve for x
    x = 2,758,210,137,796/774,360
  6. Step 6: Final answer
    x = 3,561,922.28

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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.