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Finding the Third Proportional to 718,831,944 and 1,027,229,580

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Solution

The third proportional to 718,831,944 and 1,027,229,580 is: 1,467,937,838.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,831,944 : 1,027,229,580 = 1,027,229,580 : x
  2. Step 2: Convert to fraction form
    718,831,944/1,027,229,580 = 1,027,229,580/x
  3. Step 3: Cross multiply
    718,831,944x = 1,027,229,580 × 1,027,229,580
  4. Step 4: Simplify right side
    718,831,944x = 1,055,200,610,026,976,384
  5. Step 5: Solve for x
    x = 1,055,200,610,026,976,384/718,831,944
  6. Step 6: Final answer
    x = 1,467,937,838.37

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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.