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Finding the Third Proportional to 504,852 and 1,077,060

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Solution

The third proportional to 504,852 and 1,077,060 is: 2,297,818.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,852 : 1,077,060 = 1,077,060 : x
  2. Step 2: Convert to fraction form
    504,852/1,077,060 = 1,077,060/x
  3. Step 3: Cross multiply
    504,852x = 1,077,060 × 1,077,060
  4. Step 4: Simplify right side
    504,852x = 1,160,058,243,600
  5. Step 5: Solve for x
    x = 1,160,058,243,600/504,852
  6. Step 6: Final answer
    x = 2,297,818.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.