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Finding the Third Proportional to 468,051 and 1,104,516

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Solution

The third proportional to 468,051 and 1,104,516 is: 2,606,458.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,051 : 1,104,516 = 1,104,516 : x
  2. Step 2: Convert to fraction form
    468,051/1,104,516 = 1,104,516/x
  3. Step 3: Cross multiply
    468,051x = 1,104,516 × 1,104,516
  4. Step 4: Simplify right side
    468,051x = 1,219,955,594,256
  5. Step 5: Solve for x
    x = 1,219,955,594,256/468,051
  6. Step 6: Final answer
    x = 2,606,458.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.