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Finding the Third Proportional to 1,469,178 and 2,153,466

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Solution

The third proportional to 1,469,178 and 2,153,466 is: 3,156,469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,178 : 2,153,466 = 2,153,466 : x
  2. Step 2: Convert to fraction form
    1,469,178/2,153,466 = 2,153,466/x
  3. Step 3: Cross multiply
    1,469,178x = 2,153,466 × 2,153,466
  4. Step 4: Simplify right side
    1,469,178x = 4,637,415,813,156
  5. Step 5: Solve for x
    x = 4,637,415,813,156/1,469,178
  6. Step 6: Final answer
    x = 3,156,469.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.