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Finding the Third Proportional to 468,324 and 1,007,652

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Solution

The third proportional to 468,324 and 1,007,652 is: 2,168,077.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,324 : 1,007,652 = 1,007,652 : x
  2. Step 2: Convert to fraction form
    468,324/1,007,652 = 1,007,652/x
  3. Step 3: Cross multiply
    468,324x = 1,007,652 × 1,007,652
  4. Step 4: Simplify right side
    468,324x = 1,015,362,553,104
  5. Step 5: Solve for x
    x = 1,015,362,553,104/468,324
  6. Step 6: Final answer
    x = 2,168,077.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.