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Finding the Third Proportional to 629,171,973 and 976,883,724

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Solution

The third proportional to 629,171,973 and 976,883,724 is: 1,516,758,296.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,171,973 : 976,883,724 = 976,883,724 : x
  2. Step 2: Convert to fraction form
    629,171,973/976,883,724 = 976,883,724/x
  3. Step 3: Cross multiply
    629,171,973x = 976,883,724 × 976,883,724
  4. Step 4: Simplify right side
    629,171,973x = 954,301,810,216,108,160
  5. Step 5: Solve for x
    x = 954,301,810,216,108,160/629,171,973
  6. Step 6: Final answer
    x = 1,516,758,296.89

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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.