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Finding the Third Proportional to 543,276,774 and 1,178,426,313

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Solution

The third proportional to 543,276,774 and 1,178,426,313 is: 2,556,134,629.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,276,774 : 1,178,426,313 = 1,178,426,313 : x
  2. Step 2: Convert to fraction form
    543,276,774/1,178,426,313 = 1,178,426,313/x
  3. Step 3: Cross multiply
    543,276,774x = 1,178,426,313 × 1,178,426,313
  4. Step 4: Simplify right side
    543,276,774x = 1,388,688,575,170,774,016
  5. Step 5: Solve for x
    x = 1,388,688,575,170,774,016/543,276,774
  6. Step 6: Final answer
    x = 2,556,134,629.03

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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.