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Finding the Third Proportional to 429,112,082 and 926,812,858

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Solution

The third proportional to 429,112,082 and 926,812,858 is: 2,001,766,227.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,112,082 : 926,812,858 = 926,812,858 : x
  2. Step 2: Convert to fraction form
    429,112,082/926,812,858 = 926,812,858/x
  3. Step 3: Cross multiply
    429,112,082x = 926,812,858 × 926,812,858
  4. Step 4: Simplify right side
    429,112,082x = 858,982,073,754,128,128
  5. Step 5: Solve for x
    x = 858,982,073,754,128,128/429,112,082
  6. Step 6: Final answer
    x = 2,001,766,227.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.