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Finding the Third Proportional to 405,852,933 and 869,101,458

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Solution

The third proportional to 405,852,933 and 869,101,458 is: 1,861,110,966.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,852,933 : 869,101,458 = 869,101,458 : x
  2. Step 2: Convert to fraction form
    405,852,933/869,101,458 = 869,101,458/x
  3. Step 3: Cross multiply
    405,852,933x = 869,101,458 × 869,101,458
  4. Step 4: Simplify right side
    405,852,933x = 755,337,344,297,725,824
  5. Step 5: Solve for x
    x = 755,337,344,297,725,824/405,852,933
  6. Step 6: Final answer
    x = 1,861,110,966.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.