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Finding the Third Proportional to 241,456,320 and 523,744,986

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Solution

The third proportional to 241,456,320 and 523,744,986 is: 1,136,059,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,456,320 : 523,744,986 = 523,744,986 : x
  2. Step 2: Convert to fraction form
    241,456,320/523,744,986 = 523,744,986/x
  3. Step 3: Cross multiply
    241,456,320x = 523,744,986 × 523,744,986
  4. Step 4: Simplify right side
    241,456,320x = 274,308,810,360,140,192
  5. Step 5: Solve for x
    x = 274,308,810,360,140,192/241,456,320
  6. Step 6: Final answer
    x = 1,136,059,765.84

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