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Finding the Third Proportional to 719,904 and 1,101,672

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Solution

The third proportional to 719,904 and 1,101,672 is: 1,685,893.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,904 : 1,101,672 = 1,101,672 : x
  2. Step 2: Convert to fraction form
    719,904/1,101,672 = 1,101,672/x
  3. Step 3: Cross multiply
    719,904x = 1,101,672 × 1,101,672
  4. Step 4: Simplify right side
    719,904x = 1,213,681,195,584
  5. Step 5: Solve for x
    x = 1,213,681,195,584/719,904
  6. Step 6: Final answer
    x = 1,685,893.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.