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Finding the Third Proportional to 524,880 and 1,071,905

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Solution

The third proportional to 524,880 and 1,071,905 is: 2,189,034.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,880 : 1,071,905 = 1,071,905 : x
  2. Step 2: Convert to fraction form
    524,880/1,071,905 = 1,071,905/x
  3. Step 3: Cross multiply
    524,880x = 1,071,905 × 1,071,905
  4. Step 4: Simplify right side
    524,880x = 1,148,980,329,025
  5. Step 5: Solve for x
    x = 1,148,980,329,025/524,880
  6. Step 6: Final answer
    x = 2,189,034.31

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.