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Finding the Third Proportional to 534,476 and 1,113,178

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Solution

The third proportional to 534,476 and 1,113,178 is: 2,318,467.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,476 : 1,113,178 = 1,113,178 : x
  2. Step 2: Convert to fraction form
    534,476/1,113,178 = 1,113,178/x
  3. Step 3: Cross multiply
    534,476x = 1,113,178 × 1,113,178
  4. Step 4: Simplify right side
    534,476x = 1,239,165,259,684
  5. Step 5: Solve for x
    x = 1,239,165,259,684/534,476
  6. Step 6: Final answer
    x = 2,318,467.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.