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Finding the Third Proportional to 1,276,862,192 and 1,797,319,780

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Solution

The third proportional to 1,276,862,192 and 1,797,319,780 is: 2,529,919,369.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276,862,192 : 1,797,319,780 = 1,797,319,780 : x
  2. Step 2: Convert to fraction form
    1,276,862,192/1,797,319,780 = 1,797,319,780/x
  3. Step 3: Cross multiply
    1,276,862,192x = 1,797,319,780 × 1,797,319,780
  4. Step 4: Simplify right side
    1,276,862,192x = 3,230,358,391,579,248,640
  5. Step 5: Solve for x
    x = 3,230,358,391,579,248,640/1,276,862,192
  6. Step 6: Final answer
    x = 2,529,919,369.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.