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Finding the Third Proportional to 574,256,628 and 1,252,456,992

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Solution

The third proportional to 574,256,628 and 1,252,456,992 is: 2,731,615,867.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,256,628 : 1,252,456,992 = 1,252,456,992 : x
  2. Step 2: Convert to fraction form
    574,256,628/1,252,456,992 = 1,252,456,992/x
  3. Step 3: Cross multiply
    574,256,628x = 1,252,456,992 × 1,252,456,992
  4. Step 4: Simplify right side
    574,256,628x = 1,568,648,516,809,688,064
  5. Step 5: Solve for x
    x = 1,568,648,516,809,688,064/574,256,628
  6. Step 6: Final answer
    x = 2,731,615,867.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.