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Finding the Third Proportional to 543,174,688 and 1,111,450,296

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Solution

The third proportional to 543,174,688 and 1,111,450,296 is: 2,274,262,383.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,174,688 : 1,111,450,296 = 1,111,450,296 : x
  2. Step 2: Convert to fraction form
    543,174,688/1,111,450,296 = 1,111,450,296/x
  3. Step 3: Cross multiply
    543,174,688x = 1,111,450,296 × 1,111,450,296
  4. Step 4: Simplify right side
    543,174,688x = 1,235,321,760,478,487,552
  5. Step 5: Solve for x
    x = 1,235,321,760,478,487,552/543,174,688
  6. Step 6: Final answer
    x = 2,274,262,383.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.