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Finding the Third Proportional to 774,532 and 1,698,120

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Solution

The third proportional to 774,532 and 1,698,120 is: 3,723,037.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,532 : 1,698,120 = 1,698,120 : x
  2. Step 2: Convert to fraction form
    774,532/1,698,120 = 1,698,120/x
  3. Step 3: Cross multiply
    774,532x = 1,698,120 × 1,698,120
  4. Step 4: Simplify right side
    774,532x = 2,883,611,534,400
  5. Step 5: Solve for x
    x = 2,883,611,534,400/774,532
  6. Step 6: Final answer
    x = 3,723,037.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.