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Finding the Third Proportional to 432,844,520 and 908,204,320

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Solution

The third proportional to 432,844,520 and 908,204,320 is: 1,905,615,177.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,844,520 : 908,204,320 = 908,204,320 : x
  2. Step 2: Convert to fraction form
    432,844,520/908,204,320 = 908,204,320/x
  3. Step 3: Cross multiply
    432,844,520x = 908,204,320 × 908,204,320
  4. Step 4: Simplify right side
    432,844,520x = 824,835,086,866,662,400
  5. Step 5: Solve for x
    x = 824,835,086,866,662,400/432,844,520
  6. Step 6: Final answer
    x = 1,905,615,177.63

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Why These Related Problems?

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