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Finding the Third Proportional to 565,038 and 1,219,716

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Solution

The third proportional to 565,038 and 1,219,716 is: 2,632,932.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,038 : 1,219,716 = 1,219,716 : x
  2. Step 2: Convert to fraction form
    565,038/1,219,716 = 1,219,716/x
  3. Step 3: Cross multiply
    565,038x = 1,219,716 × 1,219,716
  4. Step 4: Simplify right side
    565,038x = 1,487,707,120,656
  5. Step 5: Solve for x
    x = 1,487,707,120,656/565,038
  6. Step 6: Final answer
    x = 2,632,932.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.