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Finding the Third Proportional to 525,707,057 and 1,121,777,284

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Solution

The third proportional to 525,707,057 and 1,121,777,284 is: 2,393,698,654.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,707,057 : 1,121,777,284 = 1,121,777,284 : x
  2. Step 2: Convert to fraction form
    525,707,057/1,121,777,284 = 1,121,777,284/x
  3. Step 3: Cross multiply
    525,707,057x = 1,121,777,284 × 1,121,777,284
  4. Step 4: Simplify right side
    525,707,057x = 1,258,384,274,898,416,640
  5. Step 5: Solve for x
    x = 1,258,384,274,898,416,640/525,707,057
  6. Step 6: Final answer
    x = 2,393,698,654.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.