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Finding the Third Proportional to 517,616 and 1,097,440

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Solution

The third proportional to 517,616 and 1,097,440 is: 2,326,772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,616 : 1,097,440 = 1,097,440 : x
  2. Step 2: Convert to fraction form
    517,616/1,097,440 = 1,097,440/x
  3. Step 3: Cross multiply
    517,616x = 1,097,440 × 1,097,440
  4. Step 4: Simplify right side
    517,616x = 1,204,374,553,600
  5. Step 5: Solve for x
    x = 1,204,374,553,600/517,616
  6. Step 6: Final answer
    x = 2,326,772.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.