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Finding the Third Proportional to 776,873 and 1,049,623

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Solution

The third proportional to 776,873 and 1,049,623 is: 1,418,131.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,873 : 1,049,623 = 1,049,623 : x
  2. Step 2: Convert to fraction form
    776,873/1,049,623 = 1,049,623/x
  3. Step 3: Cross multiply
    776,873x = 1,049,623 × 1,049,623
  4. Step 4: Simplify right side
    776,873x = 1,101,708,442,129
  5. Step 5: Solve for x
    x = 1,101,708,442,129/776,873
  6. Step 6: Final answer
    x = 1,418,131.98

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Why These Related Problems?

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