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Finding the Third Proportional to 405,852,930 and 869,101,452

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Solution

The third proportional to 405,852,930 and 869,101,452 is: 1,861,110,954.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,852,930 : 869,101,452 = 869,101,452 : x
  2. Step 2: Convert to fraction form
    405,852,930/869,101,452 = 869,101,452/x
  3. Step 3: Cross multiply
    405,852,930x = 869,101,452 × 869,101,452
  4. Step 4: Simplify right side
    405,852,930x = 755,337,333,868,508,288
  5. Step 5: Solve for x
    x = 755,337,333,868,508,288/405,852,930
  6. Step 6: Final answer
    x = 1,861,110,954.33

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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.