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Finding the Third Proportional to 538,854 and 842,841

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Solution

The third proportional to 538,854 and 842,841 is: 1,318,318.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,854 : 842,841 = 842,841 : x
  2. Step 2: Convert to fraction form
    538,854/842,841 = 842,841/x
  3. Step 3: Cross multiply
    538,854x = 842,841 × 842,841
  4. Step 4: Simplify right side
    538,854x = 710,380,951,281
  5. Step 5: Solve for x
    x = 710,380,951,281/538,854
  6. Step 6: Final answer
    x = 1,318,318.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.