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Finding the Third Proportional to 691,410 and 1,129,003

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Solution

The third proportional to 691,410 and 1,129,003 is: 1,843,548.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,410 : 1,129,003 = 1,129,003 : x
  2. Step 2: Convert to fraction form
    691,410/1,129,003 = 1,129,003/x
  3. Step 3: Cross multiply
    691,410x = 1,129,003 × 1,129,003
  4. Step 4: Simplify right side
    691,410x = 1,274,647,774,009
  5. Step 5: Solve for x
    x = 1,274,647,774,009/691,410
  6. Step 6: Final answer
    x = 1,843,548.36

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.