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Finding the Third Proportional to 584,901 and 1,256,823

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Solution

The third proportional to 584,901 and 1,256,823 is: 2,700,634.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,901 : 1,256,823 = 1,256,823 : x
  2. Step 2: Convert to fraction form
    584,901/1,256,823 = 1,256,823/x
  3. Step 3: Cross multiply
    584,901x = 1,256,823 × 1,256,823
  4. Step 4: Simplify right side
    584,901x = 1,579,604,053,329
  5. Step 5: Solve for x
    x = 1,579,604,053,329/584,901
  6. Step 6: Final answer
    x = 2,700,634.90

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Why These Related Problems?

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