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Finding the Third Proportional to 491,041,580 and 1,063,814,186

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Solution

The third proportional to 491,041,580 and 1,063,814,186 is: 2,304,694,079.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,041,580 : 1,063,814,186 = 1,063,814,186 : x
  2. Step 2: Convert to fraction form
    491,041,580/1,063,814,186 = 1,063,814,186/x
  3. Step 3: Cross multiply
    491,041,580x = 1,063,814,186 × 1,063,814,186
  4. Step 4: Simplify right side
    491,041,580x = 1,131,700,622,334,842,624
  5. Step 5: Solve for x
    x = 1,131,700,622,334,842,624/491,041,580
  6. Step 6: Final answer
    x = 2,304,694,079.75

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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.