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Finding the Third Proportional to 433,955,047 and 654,968,109

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Solution

The third proportional to 433,955,047 and 654,968,109 is: 988,542,999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,955,047 : 654,968,109 = 654,968,109 : x
  2. Step 2: Convert to fraction form
    433,955,047/654,968,109 = 654,968,109/x
  3. Step 3: Cross multiply
    433,955,047x = 654,968,109 × 654,968,109
  4. Step 4: Simplify right side
    433,955,047x = 428,983,223,807,035,904
  5. Step 5: Solve for x
    x = 428,983,223,807,035,904/433,955,047
  6. Step 6: Final answer
    x = 988,542,999.49

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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.