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Finding the Third Proportional to 562,797,173 and 1,222,476,712

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Solution

The third proportional to 562,797,173 and 1,222,476,712 is: 2,655,395,910.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,797,173 : 1,222,476,712 = 1,222,476,712 : x
  2. Step 2: Convert to fraction form
    562,797,173/1,222,476,712 = 1,222,476,712/x
  3. Step 3: Cross multiply
    562,797,173x = 1,222,476,712 × 1,222,476,712
  4. Step 4: Simplify right side
    562,797,173x = 1,494,449,311,382,330,880
  5. Step 5: Solve for x
    x = 1,494,449,311,382,330,880/562,797,173
  6. Step 6: Final answer
    x = 2,655,395,910.07

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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.