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Finding the Third Proportional to 569,853,192 and 851,425,224

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Solution

The third proportional to 569,853,192 and 851,425,224 is: 1,272,125,737.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,853,192 : 851,425,224 = 851,425,224 : x
  2. Step 2: Convert to fraction form
    569,853,192/851,425,224 = 851,425,224/x
  3. Step 3: Cross multiply
    569,853,192x = 851,425,224 × 851,425,224
  4. Step 4: Simplify right side
    569,853,192x = 724,924,912,063,450,112
  5. Step 5: Solve for x
    x = 724,924,912,063,450,112/569,853,192
  6. Step 6: Final answer
    x = 1,272,125,737.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.