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Finding the Third Proportional to 516,653 and 1,094,767

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Solution

The third proportional to 516,653 and 1,094,767 is: 2,319,767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,653 : 1,094,767 = 1,094,767 : x
  2. Step 2: Convert to fraction form
    516,653/1,094,767 = 1,094,767/x
  3. Step 3: Cross multiply
    516,653x = 1,094,767 × 1,094,767
  4. Step 4: Simplify right side
    516,653x = 1,198,514,784,289
  5. Step 5: Solve for x
    x = 1,198,514,784,289/516,653
  6. Step 6: Final answer
    x = 2,319,767.40

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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.