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Finding the Third Proportional to 543,256,643 and 1,176,763,873

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Solution

The third proportional to 543,256,643 and 1,176,763,873 is: 2,549,022,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,256,643 : 1,176,763,873 = 1,176,763,873 : x
  2. Step 2: Convert to fraction form
    543,256,643/1,176,763,873 = 1,176,763,873/x
  3. Step 3: Cross multiply
    543,256,643x = 1,176,763,873 × 1,176,763,873
  4. Step 4: Simplify right side
    543,256,643x = 1,384,773,212,797,960,192
  5. Step 5: Solve for x
    x = 1,384,773,212,797,960,192/543,256,643
  6. Step 6: Final answer
    x = 2,549,022,143.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.