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Finding the Third Proportional to 407,872 and 882,942

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Solution

The third proportional to 407,872 and 882,942 is: 1,911,351.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,872 : 882,942 = 882,942 : x
  2. Step 2: Convert to fraction form
    407,872/882,942 = 882,942/x
  3. Step 3: Cross multiply
    407,872x = 882,942 × 882,942
  4. Step 4: Simplify right side
    407,872x = 779,586,575,364
  5. Step 5: Solve for x
    x = 779,586,575,364/407,872
  6. Step 6: Final answer
    x = 1,911,351.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.