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Finding the Third Proportional to 415,514 and 901,012

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Solution

The third proportional to 415,514 and 901,012 is: 1,953,779.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,514 : 901,012 = 901,012 : x
  2. Step 2: Convert to fraction form
    415,514/901,012 = 901,012/x
  3. Step 3: Cross multiply
    415,514x = 901,012 × 901,012
  4. Step 4: Simplify right side
    415,514x = 811,822,624,144
  5. Step 5: Solve for x
    x = 811,822,624,144/415,514
  6. Step 6: Final answer
    x = 1,953,779.23

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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.