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Finding the Third Proportional to 433,955,034 and 654,968,091

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Solution

The third proportional to 433,955,034 and 654,968,091 is: 988,542,974.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,955,034 : 654,968,091 = 654,968,091 : x
  2. Step 2: Convert to fraction form
    433,955,034/654,968,091 = 654,968,091/x
  3. Step 3: Cross multiply
    433,955,034x = 654,968,091 × 654,968,091
  4. Step 4: Simplify right side
    433,955,034x = 428,983,200,228,184,256
  5. Step 5: Solve for x
    x = 428,983,200,228,184,256/433,955,034
  6. Step 6: Final answer
    x = 988,542,974.77

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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.