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Finding the Third Proportional to 535,940,278 and 1,160,916,697

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Solution

The third proportional to 535,940,278 and 1,160,916,697 is: 2,514,697,313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,940,278 : 1,160,916,697 = 1,160,916,697 : x
  2. Step 2: Convert to fraction form
    535,940,278/1,160,916,697 = 1,160,916,697/x
  3. Step 3: Cross multiply
    535,940,278x = 1,160,916,697 × 1,160,916,697
  4. Step 4: Simplify right side
    535,940,278x = 1,347,727,577,373,389,824
  5. Step 5: Solve for x
    x = 1,347,727,577,373,389,824/535,940,278
  6. Step 6: Final answer
    x = 2,514,697,313.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.