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Finding the Third Proportional to 493,319 and 1,056,622

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Solution

The third proportional to 493,319 and 1,056,622 is: 2,263,140.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,319 : 1,056,622 = 1,056,622 : x
  2. Step 2: Convert to fraction form
    493,319/1,056,622 = 1,056,622/x
  3. Step 3: Cross multiply
    493,319x = 1,056,622 × 1,056,622
  4. Step 4: Simplify right side
    493,319x = 1,116,450,050,884
  5. Step 5: Solve for x
    x = 1,116,450,050,884/493,319
  6. Step 6: Final answer
    x = 2,263,140.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.