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Finding the Third Proportional to 429,632,112 and 660,757,896

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Solution

The third proportional to 429,632,112 and 660,757,896 is: 1,016,220,587.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,632,112 : 660,757,896 = 660,757,896 : x
  2. Step 2: Convert to fraction form
    429,632,112/660,757,896 = 660,757,896/x
  3. Step 3: Cross multiply
    429,632,112x = 660,757,896 × 660,757,896
  4. Step 4: Simplify right side
    429,632,112x = 436,600,997,126,346,816
  5. Step 5: Solve for x
    x = 436,600,997,126,346,816/429,632,112
  6. Step 6: Final answer
    x = 1,016,220,587.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.