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Finding the Third Proportional to 493,198 and 1,077,709

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Solution

The third proportional to 493,198 and 1,077,709 is: 2,354,950.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,198 : 1,077,709 = 1,077,709 : x
  2. Step 2: Convert to fraction form
    493,198/1,077,709 = 1,077,709/x
  3. Step 3: Cross multiply
    493,198x = 1,077,709 × 1,077,709
  4. Step 4: Simplify right side
    493,198x = 1,161,456,688,681
  5. Step 5: Solve for x
    x = 1,161,456,688,681/493,198
  6. Step 6: Final answer
    x = 2,354,950.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.