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Finding the Third Proportional to 689,613,957 and 1,033,409,629

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Solution

The third proportional to 689,613,957 and 1,033,409,629 is: 1,548,598,966.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,613,957 : 1,033,409,629 = 1,033,409,629 : x
  2. Step 2: Convert to fraction form
    689,613,957/1,033,409,629 = 1,033,409,629/x
  3. Step 3: Cross multiply
    689,613,957x = 1,033,409,629 × 1,033,409,629
  4. Step 4: Simplify right side
    689,613,957x = 1,067,935,461,309,917,696
  5. Step 5: Solve for x
    x = 1,067,935,461,309,917,696/689,613,957
  6. Step 6: Final answer
    x = 1,548,598,966.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.