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Finding the Third Proportional to 415,536 and 901,032

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Solution

The third proportional to 415,536 and 901,032 is: 1,953,762.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,536 : 901,032 = 901,032 : x
  2. Step 2: Convert to fraction form
    415,536/901,032 = 901,032/x
  3. Step 3: Cross multiply
    415,536x = 901,032 × 901,032
  4. Step 4: Simplify right side
    415,536x = 811,858,665,024
  5. Step 5: Solve for x
    x = 811,858,665,024/415,536
  6. Step 6: Final answer
    x = 1,953,762.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.