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Finding the Third Proportional to 663,638.44 and 1,024,794.94

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Solution

The third proportional to 663,638.44 and 1,024,794.94 is: 1,582,495.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,638.44 : 1,024,794.94 = 1,024,794.94 : x
  2. Step 2: Convert to fraction form
    663,638.44/1,024,794.94 = 1,024,794.94/x
  3. Step 3: Cross multiply
    663,638.44x = 1,024,794.94 × 1,024,794.94
  4. Step 4: Simplify right side
    663,638.44x = 1,050,204,663,925.63
  5. Step 5: Solve for x
    x = 1,050,204,663,925.63/663,638.44
  6. Step 6: Final answer
    x = 1,582,495.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.