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Finding the Third Proportional to 730,296,270 and 1,131,211,468

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Solution

The third proportional to 730,296,270 and 1,131,211,468 is: 1,752,219,527.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,296,270 : 1,131,211,468 = 1,131,211,468 : x
  2. Step 2: Convert to fraction form
    730,296,270/1,131,211,468 = 1,131,211,468/x
  3. Step 3: Cross multiply
    730,296,270x = 1,131,211,468 × 1,131,211,468
  4. Step 4: Simplify right side
    730,296,270x = 1,279,639,385,334,715,136
  5. Step 5: Solve for x
    x = 1,279,639,385,334,715,136/730,296,270
  6. Step 6: Final answer
    x = 1,752,219,527.75

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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.