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Finding the Third Proportional to 1,227,658 and 1,858,465

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Solution

The third proportional to 1,227,658 and 1,858,465 is: 2,813,399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227,658 : 1,858,465 = 1,858,465 : x
  2. Step 2: Convert to fraction form
    1,227,658/1,858,465 = 1,858,465/x
  3. Step 3: Cross multiply
    1,227,658x = 1,858,465 × 1,858,465
  4. Step 4: Simplify right side
    1,227,658x = 3,453,892,156,225
  5. Step 5: Solve for x
    x = 3,453,892,156,225/1,227,658
  6. Step 6: Final answer
    x = 2,813,399.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.