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Finding the Third Proportional to 701,416 and 1,534,080

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Solution

The third proportional to 701,416 and 1,534,080 is: 3,355,214.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,416 : 1,534,080 = 1,534,080 : x
  2. Step 2: Convert to fraction form
    701,416/1,534,080 = 1,534,080/x
  3. Step 3: Cross multiply
    701,416x = 1,534,080 × 1,534,080
  4. Step 4: Simplify right side
    701,416x = 2,353,401,446,400
  5. Step 5: Solve for x
    x = 2,353,401,446,400/701,416
  6. Step 6: Final answer
    x = 3,355,214.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.