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Finding the Third Proportional to 531,508 and 1,146,496

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Solution

The third proportional to 531,508 and 1,146,496 is: 2,473,063.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,508 : 1,146,496 = 1,146,496 : x
  2. Step 2: Convert to fraction form
    531,508/1,146,496 = 1,146,496/x
  3. Step 3: Cross multiply
    531,508x = 1,146,496 × 1,146,496
  4. Step 4: Simplify right side
    531,508x = 1,314,453,078,016
  5. Step 5: Solve for x
    x = 1,314,453,078,016/531,508
  6. Step 6: Final answer
    x = 2,473,063.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.