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Finding the Third Proportional to 468,117 and 1,008,549

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Solution

The third proportional to 468,117 and 1,008,549 is: 2,172,899.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,117 : 1,008,549 = 1,008,549 : x
  2. Step 2: Convert to fraction form
    468,117/1,008,549 = 1,008,549/x
  3. Step 3: Cross multiply
    468,117x = 1,008,549 × 1,008,549
  4. Step 4: Simplify right side
    468,117x = 1,017,171,085,401
  5. Step 5: Solve for x
    x = 1,017,171,085,401/468,117
  6. Step 6: Final answer
    x = 2,172,899.27

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.