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Finding the Third Proportional to 597,894 and 1,284,540

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Solution

The third proportional to 597,894 and 1,284,540 is: 2,759,758.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,894 : 1,284,540 = 1,284,540 : x
  2. Step 2: Convert to fraction form
    597,894/1,284,540 = 1,284,540/x
  3. Step 3: Cross multiply
    597,894x = 1,284,540 × 1,284,540
  4. Step 4: Simplify right side
    597,894x = 1,650,043,011,600
  5. Step 5: Solve for x
    x = 1,650,043,011,600/597,894
  6. Step 6: Final answer
    x = 2,759,758.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.