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Finding the Third Proportional to 506,590 and 1,100,984

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Solution

The third proportional to 506,590 and 1,100,984 is: 2,392,794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,590 : 1,100,984 = 1,100,984 : x
  2. Step 2: Convert to fraction form
    506,590/1,100,984 = 1,100,984/x
  3. Step 3: Cross multiply
    506,590x = 1,100,984 × 1,100,984
  4. Step 4: Simplify right side
    506,590x = 1,212,165,768,256
  5. Step 5: Solve for x
    x = 1,212,165,768,256/506,590
  6. Step 6: Final answer
    x = 2,392,794.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.