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Finding the Third Proportional to 239,470,362 and 517,260,852

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Solution

The third proportional to 239,470,362 and 517,260,852 is: 1,117,293,959.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,470,362 : 517,260,852 = 517,260,852 : x
  2. Step 2: Convert to fraction form
    239,470,362/517,260,852 = 517,260,852/x
  3. Step 3: Cross multiply
    239,470,362x = 517,260,852 × 517,260,852
  4. Step 4: Simplify right side
    239,470,362x = 267,558,789,011,765,888
  5. Step 5: Solve for x
    x = 267,558,789,011,765,888/239,470,362
  6. Step 6: Final answer
    x = 1,117,293,959.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.