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Finding the Third Proportional to 650,932,553 and 982,452,141

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Solution

The third proportional to 650,932,553 and 982,452,141 is: 1,482,814,471.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,932,553 : 982,452,141 = 982,452,141 : x
  2. Step 2: Convert to fraction form
    650,932,553/982,452,141 = 982,452,141/x
  3. Step 3: Cross multiply
    650,932,553x = 982,452,141 × 982,452,141
  4. Step 4: Simplify right side
    650,932,553x = 965,212,209,355,483,904
  5. Step 5: Solve for x
    x = 965,212,209,355,483,904/650,932,553
  6. Step 6: Final answer
    x = 1,482,814,471.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.