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Finding the Third Proportional to 668,977 and 1,429,538

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Solution

The third proportional to 668,977 and 1,429,538 is: 3,054,781.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,977 : 1,429,538 = 1,429,538 : x
  2. Step 2: Convert to fraction form
    668,977/1,429,538 = 1,429,538/x
  3. Step 3: Cross multiply
    668,977x = 1,429,538 × 1,429,538
  4. Step 4: Simplify right side
    668,977x = 2,043,578,893,444
  5. Step 5: Solve for x
    x = 2,043,578,893,444/668,977
  6. Step 6: Final answer
    x = 3,054,781.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.