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Finding the Third Proportional to 556,466 and 834,819

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Solution

The third proportional to 556,466 and 834,819 is: 1,252,408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,466 : 834,819 = 834,819 : x
  2. Step 2: Convert to fraction form
    556,466/834,819 = 834,819/x
  3. Step 3: Cross multiply
    556,466x = 834,819 × 834,819
  4. Step 4: Simplify right side
    556,466x = 696,922,762,761
  5. Step 5: Solve for x
    x = 696,922,762,761/556,466
  6. Step 6: Final answer
    x = 1,252,408.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.