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Finding the Third Proportional to 432,844,522 and 908,204,324

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Solution

The third proportional to 432,844,522 and 908,204,324 is: 1,905,615,185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,844,522 : 908,204,324 = 908,204,324 : x
  2. Step 2: Convert to fraction form
    432,844,522/908,204,324 = 908,204,324/x
  3. Step 3: Cross multiply
    432,844,522x = 908,204,324 × 908,204,324
  4. Step 4: Simplify right side
    432,844,522x = 824,835,094,132,296,960
  5. Step 5: Solve for x
    x = 824,835,094,132,296,960/432,844,522
  6. Step 6: Final answer
    x = 1,905,615,185.61

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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.