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Finding the Third Proportional to 433,570 and 927,404

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Solution

The third proportional to 433,570 and 927,404 is: 1,983,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,570 : 927,404 = 927,404 : x
  2. Step 2: Convert to fraction form
    433,570/927,404 = 927,404/x
  3. Step 3: Cross multiply
    433,570x = 927,404 × 927,404
  4. Step 4: Simplify right side
    433,570x = 860,078,179,216
  5. Step 5: Solve for x
    x = 860,078,179,216/433,570
  6. Step 6: Final answer
    x = 1,983,712.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.