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Finding the Third Proportional to 510,984 and 1,193,508

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Solution

The third proportional to 510,984 and 1,193,508 is: 2,787,682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,984 : 1,193,508 = 1,193,508 : x
  2. Step 2: Convert to fraction form
    510,984/1,193,508 = 1,193,508/x
  3. Step 3: Cross multiply
    510,984x = 1,193,508 × 1,193,508
  4. Step 4: Simplify right side
    510,984x = 1,424,461,346,064
  5. Step 5: Solve for x
    x = 1,424,461,346,064/510,984
  6. Step 6: Final answer
    x = 2,787,682.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.