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Finding the Third Proportional to 730,296,262 and 1,131,211,456

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Solution

The third proportional to 730,296,262 and 1,131,211,456 is: 1,752,219,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,296,262 : 1,131,211,456 = 1,131,211,456 : x
  2. Step 2: Convert to fraction form
    730,296,262/1,131,211,456 = 1,131,211,456/x
  3. Step 3: Cross multiply
    730,296,262x = 1,131,211,456 × 1,131,211,456
  4. Step 4: Simplify right side
    730,296,262x = 1,279,639,358,185,639,936
  5. Step 5: Solve for x
    x = 1,279,639,358,185,639,936/730,296,262
  6. Step 6: Final answer
    x = 1,752,219,509.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.