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Finding the Third Proportional to 591,480 and 1,271,520

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Solution

The third proportional to 591,480 and 1,271,520 is: 2,733,419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,480 : 1,271,520 = 1,271,520 : x
  2. Step 2: Convert to fraction form
    591,480/1,271,520 = 1,271,520/x
  3. Step 3: Cross multiply
    591,480x = 1,271,520 × 1,271,520
  4. Step 4: Simplify right side
    591,480x = 1,616,763,110,400
  5. Step 5: Solve for x
    x = 1,616,763,110,400/591,480
  6. Step 6: Final answer
    x = 2,733,419.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.