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Finding the Third Proportional to 468,038 and 1,104,480

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Solution

The third proportional to 468,038 and 1,104,480 is: 2,606,361.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,038 : 1,104,480 = 1,104,480 : x
  2. Step 2: Convert to fraction form
    468,038/1,104,480 = 1,104,480/x
  3. Step 3: Cross multiply
    468,038x = 1,104,480 × 1,104,480
  4. Step 4: Simplify right side
    468,038x = 1,219,876,070,400
  5. Step 5: Solve for x
    x = 1,219,876,070,400/468,038
  6. Step 6: Final answer
    x = 2,606,361.17

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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.