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Finding the Third Proportional to 598,299,102 and 919,060,623

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Solution

The third proportional to 598,299,102 and 919,060,623 is: 1,411,789,564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,299,102 : 919,060,623 = 919,060,623 : x
  2. Step 2: Convert to fraction form
    598,299,102/919,060,623 = 919,060,623/x
  3. Step 3: Cross multiply
    598,299,102x = 919,060,623 × 919,060,623
  4. Step 4: Simplify right side
    598,299,102x = 844,672,428,749,148,160
  5. Step 5: Solve for x
    x = 844,672,428,749,148,160/598,299,102
  6. Step 6: Final answer
    x = 1,411,789,564.66

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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.