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Finding the Third Proportional to 506,571 and 1,097,204.63

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Solution

The third proportional to 506,571 and 1,097,204.63 is: 2,376,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,571 : 1,097,204.63 = 1,097,204.63 : x
  2. Step 2: Convert to fraction form
    506,571/1,097,204.63 = 1,097,204.63/x
  3. Step 3: Cross multiply
    506,571x = 1,097,204.63 × 1,097,204.63
  4. Step 4: Simplify right side
    506,571x = 1,203,857,989,121.39
  5. Step 5: Solve for x
    x = 1,203,857,989,121.39/506,571
  6. Step 6: Final answer
    x = 2,376,484.22

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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.