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Finding the Third Proportional to 516,651 and 1,094,763

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Solution

The third proportional to 516,651 and 1,094,763 is: 2,319,759.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,651 : 1,094,763 = 1,094,763 : x
  2. Step 2: Convert to fraction form
    516,651/1,094,763 = 1,094,763/x
  3. Step 3: Cross multiply
    516,651x = 1,094,763 × 1,094,763
  4. Step 4: Simplify right side
    516,651x = 1,198,506,026,169
  5. Step 5: Solve for x
    x = 1,198,506,026,169/516,651
  6. Step 6: Final answer
    x = 2,319,759.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.