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Finding the Third Proportional to 718,831,974 and 1,027,229,625

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Solution

The third proportional to 718,831,974 and 1,027,229,625 is: 1,467,937,905.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,831,974 : 1,027,229,625 = 1,027,229,625 : x
  2. Step 2: Convert to fraction form
    718,831,974/1,027,229,625 = 1,027,229,625/x
  3. Step 3: Cross multiply
    718,831,974x = 1,027,229,625 × 1,027,229,625
  4. Step 4: Simplify right side
    718,831,974x = 1,055,200,702,477,640,576
  5. Step 5: Solve for x
    x = 1,055,200,702,477,640,576/718,831,974
  6. Step 6: Final answer
    x = 1,467,937,905.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.