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Finding the Third Proportional to 536,798 and 1,170,052

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Solution

The third proportional to 536,798 and 1,170,052 is: 2,550,347.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,798 : 1,170,052 = 1,170,052 : x
  2. Step 2: Convert to fraction form
    536,798/1,170,052 = 1,170,052/x
  3. Step 3: Cross multiply
    536,798x = 1,170,052 × 1,170,052
  4. Step 4: Simplify right side
    536,798x = 1,369,021,682,704
  5. Step 5: Solve for x
    x = 1,369,021,682,704/536,798
  6. Step 6: Final answer
    x = 2,550,347.96

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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.