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Finding the Third Proportional to 776,860 and 1,049,604

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Solution

The third proportional to 776,860 and 1,049,604 is: 1,418,104.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,860 : 1,049,604 = 1,049,604 : x
  2. Step 2: Convert to fraction form
    776,860/1,049,604 = 1,049,604/x
  3. Step 3: Cross multiply
    776,860x = 1,049,604 × 1,049,604
  4. Step 4: Simplify right side
    776,860x = 1,101,668,556,816
  5. Step 5: Solve for x
    x = 1,101,668,556,816/776,860
  6. Step 6: Final answer
    x = 1,418,104.36

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.