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Finding the Third Proportional to 833,140 and 1,261,394

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Solution

The third proportional to 833,140 and 1,261,394 is: 1,909,780.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,140 : 1,261,394 = 1,261,394 : x
  2. Step 2: Convert to fraction form
    833,140/1,261,394 = 1,261,394/x
  3. Step 3: Cross multiply
    833,140x = 1,261,394 × 1,261,394
  4. Step 4: Simplify right side
    833,140x = 1,591,114,823,236
  5. Step 5: Solve for x
    x = 1,591,114,823,236/833,140
  6. Step 6: Final answer
    x = 1,909,780.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.