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Finding the Third Proportional to 534,296,358 and 817,334,199

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Solution

The third proportional to 534,296,358 and 817,334,199 is: 1,250,308,340.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,296,358 : 817,334,199 = 817,334,199 : x
  2. Step 2: Convert to fraction form
    534,296,358/817,334,199 = 817,334,199/x
  3. Step 3: Cross multiply
    534,296,358x = 817,334,199 × 817,334,199
  4. Step 4: Simplify right side
    534,296,358x = 668,035,192,854,971,648
  5. Step 5: Solve for x
    x = 668,035,192,854,971,648/534,296,358
  6. Step 6: Final answer
    x = 1,250,308,340.78

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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.