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Finding the Third Proportional to 436,672 and 947,072

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Solution

The third proportional to 436,672 and 947,072 is: 2,054,048.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,672 : 947,072 = 947,072 : x
  2. Step 2: Convert to fraction form
    436,672/947,072 = 947,072/x
  3. Step 3: Cross multiply
    436,672x = 947,072 × 947,072
  4. Step 4: Simplify right side
    436,672x = 896,945,373,184
  5. Step 5: Solve for x
    x = 896,945,373,184/436,672
  6. Step 6: Final answer
    x = 2,054,048.29

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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.