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Finding the Third Proportional to 835,712 and 1,274,340

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Solution

The third proportional to 835,712 and 1,274,340 is: 1,943,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,712 : 1,274,340 = 1,274,340 : x
  2. Step 2: Convert to fraction form
    835,712/1,274,340 = 1,274,340/x
  3. Step 3: Cross multiply
    835,712x = 1,274,340 × 1,274,340
  4. Step 4: Simplify right side
    835,712x = 1,623,942,435,600
  5. Step 5: Solve for x
    x = 1,623,942,435,600/835,712
  6. Step 6: Final answer
    x = 1,943,184.30

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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.