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Finding the Third Proportional to 476,304,876 and 1,025,592,129

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Solution

The third proportional to 476,304,876 and 1,025,592,129 is: 2,208,331,822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,304,876 : 1,025,592,129 = 1,025,592,129 : x
  2. Step 2: Convert to fraction form
    476,304,876/1,025,592,129 = 1,025,592,129/x
  3. Step 3: Cross multiply
    476,304,876x = 1,025,592,129 × 1,025,592,129
  4. Step 4: Simplify right side
    476,304,876x = 1,051,839,215,066,752,640
  5. Step 5: Solve for x
    x = 1,051,839,215,066,752,640/476,304,876
  6. Step 6: Final answer
    x = 2,208,331,822.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.