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Finding the Third Proportional to 772,950 and 1,226,604

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Solution

The third proportional to 772,950 and 1,226,604 is: 1,946,513.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,950 : 1,226,604 = 1,226,604 : x
  2. Step 2: Convert to fraction form
    772,950/1,226,604 = 1,226,604/x
  3. Step 3: Cross multiply
    772,950x = 1,226,604 × 1,226,604
  4. Step 4: Simplify right side
    772,950x = 1,504,557,372,816
  5. Step 5: Solve for x
    x = 1,504,557,372,816/772,950
  6. Step 6: Final answer
    x = 1,946,513.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.