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Finding the Third Proportional to 1,180,533.10 and 2,502,936.60

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Solution

The third proportional to 1,180,533.10 and 2,502,936.60 is: 5,306,663.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,533.10 : 2,502,936.60 = 2,502,936.60 : x
  2. Step 2: Convert to fraction form
    1,180,533.10/2,502,936.60 = 2,502,936.60/x
  3. Step 3: Cross multiply
    1,180,533.10x = 2,502,936.60 × 2,502,936.60
  4. Step 4: Simplify right side
    1,180,533.10x = 6,264,691,644,885.01
  5. Step 5: Solve for x
    x = 6,264,691,644,885.01/1,180,533.10
  6. Step 6: Final answer
    x = 5,306,663.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.