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Finding the Third Proportional to 501,682,572 and 1,080,246,924

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Solution

The third proportional to 501,682,572 and 1,080,246,924 is: 2,326,039,376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,682,572 : 1,080,246,924 = 1,080,246,924 : x
  2. Step 2: Convert to fraction form
    501,682,572/1,080,246,924 = 1,080,246,924/x
  3. Step 3: Cross multiply
    501,682,572x = 1,080,246,924 × 1,080,246,924
  4. Step 4: Simplify right side
    501,682,572x = 1,166,933,416,811,461,888
  5. Step 5: Solve for x
    x = 1,166,933,416,811,461,888/501,682,572
  6. Step 6: Final answer
    x = 2,326,039,376.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.