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Finding the Third Proportional to 531,036 and 1,146,879

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Solution

The third proportional to 531,036 and 1,146,879 is: 2,476,915.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,036 : 1,146,879 = 1,146,879 : x
  2. Step 2: Convert to fraction form
    531,036/1,146,879 = 1,146,879/x
  3. Step 3: Cross multiply
    531,036x = 1,146,879 × 1,146,879
  4. Step 4: Simplify right side
    531,036x = 1,315,331,440,641
  5. Step 5: Solve for x
    x = 1,315,331,440,641/531,036
  6. Step 6: Final answer
    x = 2,476,915.77

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Why These Related Problems?

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