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Finding the Third Proportional to 1,205,496 and 1,820,472

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Solution

The third proportional to 1,205,496 and 1,820,472 is: 2,749,174.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,496 : 1,820,472 = 1,820,472 : x
  2. Step 2: Convert to fraction form
    1,205,496/1,820,472 = 1,820,472/x
  3. Step 3: Cross multiply
    1,205,496x = 1,820,472 × 1,820,472
  4. Step 4: Simplify right side
    1,205,496x = 3,314,118,302,784
  5. Step 5: Solve for x
    x = 3,314,118,302,784/1,205,496
  6. Step 6: Final answer
    x = 2,749,174.04

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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.