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Finding the Third Proportional to 493,220 and 1,077,754

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Solution

The third proportional to 493,220 and 1,077,754 is: 2,355,041.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,220 : 1,077,754 = 1,077,754 : x
  2. Step 2: Convert to fraction form
    493,220/1,077,754 = 1,077,754/x
  3. Step 3: Cross multiply
    493,220x = 1,077,754 × 1,077,754
  4. Step 4: Simplify right side
    493,220x = 1,161,553,684,516
  5. Step 5: Solve for x
    x = 1,161,553,684,516/493,220
  6. Step 6: Final answer
    x = 2,355,041.73

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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.