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Finding the Third Proportional to 534,295,869 and 817,333,452

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Solution

The third proportional to 534,295,869 and 817,333,452 is: 1,250,307,199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,295,869 : 817,333,452 = 817,333,452 : x
  2. Step 2: Convert to fraction form
    534,295,869/817,333,452 = 817,333,452/x
  3. Step 3: Cross multiply
    534,295,869x = 817,333,452 × 817,333,452
  4. Step 4: Simplify right side
    534,295,869x = 668,033,971,758,236,288
  5. Step 5: Solve for x
    x = 668,033,971,758,236,288/534,295,869
  6. Step 6: Final answer
    x = 1,250,307,199.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.