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Finding the Third Proportional to 517,114,178 and 725,613,573

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Solution

The third proportional to 517,114,178 and 725,613,573 is: 1,018,179,504.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,114,178 : 725,613,573 = 725,613,573 : x
  2. Step 2: Convert to fraction form
    517,114,178/725,613,573 = 725,613,573/x
  3. Step 3: Cross multiply
    517,114,178x = 725,613,573 × 725,613,573
  4. Step 4: Simplify right side
    517,114,178x = 526,515,057,321,826,304
  5. Step 5: Solve for x
    x = 526,515,057,321,826,304/517,114,178
  6. Step 6: Final answer
    x = 1,018,179,504.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.