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Finding the Third Proportional to 526,988 and 1,171,880

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Solution

The third proportional to 526,988 and 1,171,880 is: 2,605,946.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,988 : 1,171,880 = 1,171,880 : x
  2. Step 2: Convert to fraction form
    526,988/1,171,880 = 1,171,880/x
  3. Step 3: Cross multiply
    526,988x = 1,171,880 × 1,171,880
  4. Step 4: Simplify right side
    526,988x = 1,373,302,734,400
  5. Step 5: Solve for x
    x = 1,373,302,734,400/526,988
  6. Step 6: Final answer
    x = 2,605,946.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.