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Finding the Third Proportional to 436,032 and 1,018,152

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Solution

The third proportional to 436,032 and 1,018,152 is: 2,377,425.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,032 : 1,018,152 = 1,018,152 : x
  2. Step 2: Convert to fraction form
    436,032/1,018,152 = 1,018,152/x
  3. Step 3: Cross multiply
    436,032x = 1,018,152 × 1,018,152
  4. Step 4: Simplify right side
    436,032x = 1,036,633,495,104
  5. Step 5: Solve for x
    x = 1,036,633,495,104/436,032
  6. Step 6: Final answer
    x = 2,377,425.27

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.