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Finding the Third Proportional to 788,176 and 1,222,925

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Solution

The third proportional to 788,176 and 1,222,925 is: 1,897,476.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,176 : 1,222,925 = 1,222,925 : x
  2. Step 2: Convert to fraction form
    788,176/1,222,925 = 1,222,925/x
  3. Step 3: Cross multiply
    788,176x = 1,222,925 × 1,222,925
  4. Step 4: Simplify right side
    788,176x = 1,495,545,555,625
  5. Step 5: Solve for x
    x = 1,495,545,555,625/788,176
  6. Step 6: Final answer
    x = 1,897,476.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.