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Finding the Third Proportional to 1,091,590 and 1,659,416

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Solution

The third proportional to 1,091,590 and 1,659,416 is: 2,522,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091,590 : 1,659,416 = 1,659,416 : x
  2. Step 2: Convert to fraction form
    1,091,590/1,659,416 = 1,659,416/x
  3. Step 3: Cross multiply
    1,091,590x = 1,659,416 × 1,659,416
  4. Step 4: Simplify right side
    1,091,590x = 2,753,661,461,056
  5. Step 5: Solve for x
    x = 2,753,661,461,056/1,091,590
  6. Step 6: Final answer
    x = 2,522,615.14

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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.