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Finding the Third Proportional to 767,925 and 1,675,827

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Solution

The third proportional to 767,925 and 1,675,827 is: 3,657,122.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,925 : 1,675,827 = 1,675,827 : x
  2. Step 2: Convert to fraction form
    767,925/1,675,827 = 1,675,827/x
  3. Step 3: Cross multiply
    767,925x = 1,675,827 × 1,675,827
  4. Step 4: Simplify right side
    767,925x = 2,808,396,133,929
  5. Step 5: Solve for x
    x = 2,808,396,133,929/767,925
  6. Step 6: Final answer
    x = 3,657,122.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.