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Finding the Third Proportional to 351,452,534 and 731,994,581

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Solution

The third proportional to 351,452,534 and 731,994,581 is: 1,524,575,909.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,452,534 : 731,994,581 = 731,994,581 : x
  2. Step 2: Convert to fraction form
    351,452,534/731,994,581 = 731,994,581/x
  3. Step 3: Cross multiply
    351,452,534x = 731,994,581 × 731,994,581
  4. Step 4: Simplify right side
    351,452,534x = 535,816,066,613,365,568
  5. Step 5: Solve for x
    x = 535,816,066,613,365,568/351,452,534
  6. Step 6: Final answer
    x = 1,524,575,909.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.