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Finding the Third Proportional to 783,069 and 1,709,952

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Solution

The third proportional to 783,069 and 1,709,952 is: 3,733,944.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,069 : 1,709,952 = 1,709,952 : x
  2. Step 2: Convert to fraction form
    783,069/1,709,952 = 1,709,952/x
  3. Step 3: Cross multiply
    783,069x = 1,709,952 × 1,709,952
  4. Step 4: Simplify right side
    783,069x = 2,923,935,842,304
  5. Step 5: Solve for x
    x = 2,923,935,842,304/783,069
  6. Step 6: Final answer
    x = 3,733,944.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.