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Finding the Third Proportional to 592,077 and 1,302,252

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Solution

The third proportional to 592,077 and 1,302,252 is: 2,864,256.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,077 : 1,302,252 = 1,302,252 : x
  2. Step 2: Convert to fraction form
    592,077/1,302,252 = 1,302,252/x
  3. Step 3: Cross multiply
    592,077x = 1,302,252 × 1,302,252
  4. Step 4: Simplify right side
    592,077x = 1,695,860,271,504
  5. Step 5: Solve for x
    x = 1,695,860,271,504/592,077
  6. Step 6: Final answer
    x = 2,864,256.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.