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Finding the Third Proportional to 506,446 and 1,080,690

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Solution

The third proportional to 506,446 and 1,080,690 is: 2,306,052.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,446 : 1,080,690 = 1,080,690 : x
  2. Step 2: Convert to fraction form
    506,446/1,080,690 = 1,080,690/x
  3. Step 3: Cross multiply
    506,446x = 1,080,690 × 1,080,690
  4. Step 4: Simplify right side
    506,446x = 1,167,890,876,100
  5. Step 5: Solve for x
    x = 1,167,890,876,100/506,446
  6. Step 6: Final answer
    x = 2,306,052.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.