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Finding the Third Proportional to 531,084 and 1,146,684

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Solution

The third proportional to 531,084 and 1,146,684 is: 2,475,849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,084 : 1,146,684 = 1,146,684 : x
  2. Step 2: Convert to fraction form
    531,084/1,146,684 = 1,146,684/x
  3. Step 3: Cross multiply
    531,084x = 1,146,684 × 1,146,684
  4. Step 4: Simplify right side
    531,084x = 1,314,884,195,856
  5. Step 5: Solve for x
    x = 1,314,884,195,856/531,084
  6. Step 6: Final answer
    x = 2,475,849.76

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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.