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Finding the Third Proportional to 520,516 and 1,253,943

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Solution

The third proportional to 520,516 and 1,253,943 is: 3,020,796.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,516 : 1,253,943 = 1,253,943 : x
  2. Step 2: Convert to fraction form
    520,516/1,253,943 = 1,253,943/x
  3. Step 3: Cross multiply
    520,516x = 1,253,943 × 1,253,943
  4. Step 4: Simplify right side
    520,516x = 1,572,373,047,249
  5. Step 5: Solve for x
    x = 1,572,373,047,249/520,516
  6. Step 6: Final answer
    x = 3,020,796.76

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.