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Finding the Third Proportional to 654,471,270 and 988,493,796

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Solution

The third proportional to 654,471,270 and 988,493,796 is: 1,492,991,410.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,471,270 : 988,493,796 = 988,493,796 : x
  2. Step 2: Convert to fraction form
    654,471,270/988,493,796 = 988,493,796/x
  3. Step 3: Cross multiply
    654,471,270x = 988,493,796 × 988,493,796
  4. Step 4: Simplify right side
    654,471,270x = 977,119,984,730,489,600
  5. Step 5: Solve for x
    x = 977,119,984,730,489,600/654,471,270
  6. Step 6: Final answer
    x = 1,492,991,410.81

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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.