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Finding the Third Proportional to 872,564 and 1,824,592

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Solution

The third proportional to 872,564 and 1,824,592 is: 3,815,348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,564 : 1,824,592 = 1,824,592 : x
  2. Step 2: Convert to fraction form
    872,564/1,824,592 = 1,824,592/x
  3. Step 3: Cross multiply
    872,564x = 1,824,592 × 1,824,592
  4. Step 4: Simplify right side
    872,564x = 3,329,135,966,464
  5. Step 5: Solve for x
    x = 3,329,135,966,464/872,564
  6. Step 6: Final answer
    x = 3,815,348.75

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.