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Finding the Third Proportional to 461,982,384 and 1,027,256,751

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Solution

The third proportional to 461,982,384 and 1,027,256,751 is: 2,284,191,928.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,982,384 : 1,027,256,751 = 1,027,256,751 : x
  2. Step 2: Convert to fraction form
    461,982,384/1,027,256,751 = 1,027,256,751/x
  3. Step 3: Cross multiply
    461,982,384x = 1,027,256,751 × 1,027,256,751
  4. Step 4: Simplify right side
    461,982,384x = 1,055,256,432,475,075,968
  5. Step 5: Solve for x
    x = 1,055,256,432,475,075,968/461,982,384
  6. Step 6: Final answer
    x = 2,284,191,928.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.