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Finding the Third Proportional to 536,938 and 1,157,899

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Solution

The third proportional to 536,938 and 1,157,899 is: 2,496,992.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,938 : 1,157,899 = 1,157,899 : x
  2. Step 2: Convert to fraction form
    536,938/1,157,899 = 1,157,899/x
  3. Step 3: Cross multiply
    536,938x = 1,157,899 × 1,157,899
  4. Step 4: Simplify right side
    536,938x = 1,340,730,094,201
  5. Step 5: Solve for x
    x = 1,340,730,094,201/536,938
  6. Step 6: Final answer
    x = 2,496,992.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.