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Finding the Third Proportional to 529,026 and 1,175,772

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Solution

The third proportional to 529,026 and 1,175,772 is: 2,613,179.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,026 : 1,175,772 = 1,175,772 : x
  2. Step 2: Convert to fraction form
    529,026/1,175,772 = 1,175,772/x
  3. Step 3: Cross multiply
    529,026x = 1,175,772 × 1,175,772
  4. Step 4: Simplify right side
    529,026x = 1,382,439,795,984
  5. Step 5: Solve for x
    x = 1,382,439,795,984/529,026
  6. Step 6: Final answer
    x = 2,613,179.31

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.