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Finding the Third Proportional to 629,171,982 and 976,883,733

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Solution

The third proportional to 629,171,982 and 976,883,733 is: 1,516,758,303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,171,982 : 976,883,733 = 976,883,733 : x
  2. Step 2: Convert to fraction form
    629,171,982/976,883,733 = 976,883,733/x
  3. Step 3: Cross multiply
    629,171,982x = 976,883,733 × 976,883,733
  4. Step 4: Simplify right side
    629,171,982x = 954,301,827,800,015,232
  5. Step 5: Solve for x
    x = 954,301,827,800,015,232/629,171,982
  6. Step 6: Final answer
    x = 1,516,758,303.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.