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Finding the Third Proportional to 543,496 and 1,170,097

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Solution

The third proportional to 543,496 and 1,170,097 is: 2,519,111.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,496 : 1,170,097 = 1,170,097 : x
  2. Step 2: Convert to fraction form
    543,496/1,170,097 = 1,170,097/x
  3. Step 3: Cross multiply
    543,496x = 1,170,097 × 1,170,097
  4. Step 4: Simplify right side
    543,496x = 1,369,126,989,409
  5. Step 5: Solve for x
    x = 1,369,126,989,409/543,496
  6. Step 6: Final answer
    x = 2,519,111.44

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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.