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Finding the Third Proportional to 550,996 and 842,814

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Solution

The third proportional to 550,996 and 842,814 is: 1,289,184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,996 : 842,814 = 842,814 : x
  2. Step 2: Convert to fraction form
    550,996/842,814 = 842,814/x
  3. Step 3: Cross multiply
    550,996x = 842,814 × 842,814
  4. Step 4: Simplify right side
    550,996x = 710,335,438,596
  5. Step 5: Solve for x
    x = 710,335,438,596/550,996
  6. Step 6: Final answer
    x = 1,289,184.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.