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Finding the Third Proportional to 534,334 and 1,124,000

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Solution

The third proportional to 534,334 and 1,124,000 is: 2,364,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,334 : 1,124,000 = 1,124,000 : x
  2. Step 2: Convert to fraction form
    534,334/1,124,000 = 1,124,000/x
  3. Step 3: Cross multiply
    534,334x = 1,124,000 × 1,124,000
  4. Step 4: Simplify right side
    534,334x = 1,263,376,000,000
  5. Step 5: Solve for x
    x = 1,263,376,000,000/534,334
  6. Step 6: Final answer
    x = 2,364,393.81

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.