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Finding the Third Proportional to 592,682 and 1,280,132

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Solution

The third proportional to 592,682 and 1,280,132 is: 2,764,953.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,682 : 1,280,132 = 1,280,132 : x
  2. Step 2: Convert to fraction form
    592,682/1,280,132 = 1,280,132/x
  3. Step 3: Cross multiply
    592,682x = 1,280,132 × 1,280,132
  4. Step 4: Simplify right side
    592,682x = 1,638,737,937,424
  5. Step 5: Solve for x
    x = 1,638,737,937,424/592,682
  6. Step 6: Final answer
    x = 2,764,953.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.