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Finding the Third Proportional to 552,798 and 1,161,297

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Solution

The third proportional to 552,798 and 1,161,297 is: 2,439,608.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,798 : 1,161,297 = 1,161,297 : x
  2. Step 2: Convert to fraction form
    552,798/1,161,297 = 1,161,297/x
  3. Step 3: Cross multiply
    552,798x = 1,161,297 × 1,161,297
  4. Step 4: Simplify right side
    552,798x = 1,348,610,722,209
  5. Step 5: Solve for x
    x = 1,348,610,722,209/552,798
  6. Step 6: Final answer
    x = 2,439,608.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.