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Finding the Third Proportional to 1,465,166 and 2,264,176

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Solution

The third proportional to 1,465,166 and 2,264,176 is: 3,498,916.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465,166 : 2,264,176 = 2,264,176 : x
  2. Step 2: Convert to fraction form
    1,465,166/2,264,176 = 2,264,176/x
  3. Step 3: Cross multiply
    1,465,166x = 2,264,176 × 2,264,176
  4. Step 4: Simplify right side
    1,465,166x = 5,126,492,958,976
  5. Step 5: Solve for x
    x = 5,126,492,958,976/1,465,166
  6. Step 6: Final answer
    x = 3,498,916.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.