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Finding the Third Proportional to 436,029 and 904,863

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Solution

The third proportional to 436,029 and 904,863 is: 1,877,804.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,029 : 904,863 = 904,863 : x
  2. Step 2: Convert to fraction form
    436,029/904,863 = 904,863/x
  3. Step 3: Cross multiply
    436,029x = 904,863 × 904,863
  4. Step 4: Simplify right side
    436,029x = 818,777,048,769
  5. Step 5: Solve for x
    x = 818,777,048,769/436,029
  6. Step 6: Final answer
    x = 1,877,804.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.