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Finding the Third Proportional to 733,900 and 1,488,460

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Solution

The third proportional to 733,900 and 1,488,460 is: 3,018,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,900 : 1,488,460 = 1,488,460 : x
  2. Step 2: Convert to fraction form
    733,900/1,488,460 = 1,488,460/x
  3. Step 3: Cross multiply
    733,900x = 1,488,460 × 1,488,460
  4. Step 4: Simplify right side
    733,900x = 2,215,513,171,600
  5. Step 5: Solve for x
    x = 2,215,513,171,600/733,900
  6. Step 6: Final answer
    x = 3,018,821.60

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.