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Finding the Third Proportional to 537,988 and 1,165,041

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Solution

The third proportional to 537,988 and 1,165,041 is: 2,522,956.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,988 : 1,165,041 = 1,165,041 : x
  2. Step 2: Convert to fraction form
    537,988/1,165,041 = 1,165,041/x
  3. Step 3: Cross multiply
    537,988x = 1,165,041 × 1,165,041
  4. Step 4: Simplify right side
    537,988x = 1,357,320,531,681
  5. Step 5: Solve for x
    x = 1,357,320,531,681/537,988
  6. Step 6: Final answer
    x = 2,522,956.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.