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Finding the Third Proportional to 830,652 and 1,262,394

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Solution

The third proportional to 830,652 and 1,262,394 is: 1,918,539.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,652 : 1,262,394 = 1,262,394 : x
  2. Step 2: Convert to fraction form
    830,652/1,262,394 = 1,262,394/x
  3. Step 3: Cross multiply
    830,652x = 1,262,394 × 1,262,394
  4. Step 4: Simplify right side
    830,652x = 1,593,638,611,236
  5. Step 5: Solve for x
    x = 1,593,638,611,236/830,652
  6. Step 6: Final answer
    x = 1,918,539.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.