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Finding the Third Proportional to 432,844,524 and 908,204,328

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Solution

The third proportional to 432,844,524 and 908,204,328 is: 1,905,615,193.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,844,524 : 908,204,328 = 908,204,328 : x
  2. Step 2: Convert to fraction form
    432,844,524/908,204,328 = 908,204,328/x
  3. Step 3: Cross multiply
    432,844,524x = 908,204,328 × 908,204,328
  4. Step 4: Simplify right side
    432,844,524x = 824,835,101,397,931,520
  5. Step 5: Solve for x
    x = 824,835,101,397,931,520/432,844,524
  6. Step 6: Final answer
    x = 1,905,615,193.59

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.