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Finding the Third Proportional to 571,448,640 and 1,240,314,976

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Solution

The third proportional to 571,448,640 and 1,240,314,976 is: 2,692,072,623.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,448,640 : 1,240,314,976 = 1,240,314,976 : x
  2. Step 2: Convert to fraction form
    571,448,640/1,240,314,976 = 1,240,314,976/x
  3. Step 3: Cross multiply
    571,448,640x = 1,240,314,976 × 1,240,314,976
  4. Step 4: Simplify right side
    571,448,640x = 1,538,381,239,689,880,576
  5. Step 5: Solve for x
    x = 1,538,381,239,689,880,576/571,448,640
  6. Step 6: Final answer
    x = 2,692,072,623.87

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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.