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Finding the Third Proportional to 677,838 and 1,050,233

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Solution

The third proportional to 677,838 and 1,050,233 is: 1,627,216.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,838 : 1,050,233 = 1,050,233 : x
  2. Step 2: Convert to fraction form
    677,838/1,050,233 = 1,050,233/x
  3. Step 3: Cross multiply
    677,838x = 1,050,233 × 1,050,233
  4. Step 4: Simplify right side
    677,838x = 1,102,989,354,289
  5. Step 5: Solve for x
    x = 1,102,989,354,289/677,838
  6. Step 6: Final answer
    x = 1,627,216.76

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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.