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Finding the Third Proportional to 564,759,146 and 825,465,002

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Solution

The third proportional to 564,759,146 and 825,465,002 is: 1,206,518,698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,759,146 : 825,465,002 = 825,465,002 : x
  2. Step 2: Convert to fraction form
    564,759,146/825,465,002 = 825,465,002/x
  3. Step 3: Cross multiply
    564,759,146x = 825,465,002 × 825,465,002
  4. Step 4: Simplify right side
    564,759,146x = 681,392,469,526,860,032
  5. Step 5: Solve for x
    x = 681,392,469,526,860,032/564,759,146
  6. Step 6: Final answer
    x = 1,206,518,698.02

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.