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Finding the Third Proportional to 534,295,874 and 817,333,460

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Solution

The third proportional to 534,295,874 and 817,333,460 is: 1,250,307,212.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,295,874 : 817,333,460 = 817,333,460 : x
  2. Step 2: Convert to fraction form
    534,295,874/817,333,460 = 817,333,460/x
  3. Step 3: Cross multiply
    534,295,874x = 817,333,460 × 817,333,460
  4. Step 4: Simplify right side
    534,295,874x = 668,033,984,835,571,584
  5. Step 5: Solve for x
    x = 668,033,984,835,571,584/534,295,874
  6. Step 6: Final answer
    x = 1,250,307,212.43

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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.