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Finding the Third Proportional to 580,040 and 1,274,332

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Solution

The third proportional to 580,040 and 1,274,332 is: 2,799,672.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,040 : 1,274,332 = 1,274,332 : x
  2. Step 2: Convert to fraction form
    580,040/1,274,332 = 1,274,332/x
  3. Step 3: Cross multiply
    580,040x = 1,274,332 × 1,274,332
  4. Step 4: Simplify right side
    580,040x = 1,623,922,046,224
  5. Step 5: Solve for x
    x = 1,623,922,046,224/580,040
  6. Step 6: Final answer
    x = 2,799,672.52

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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.