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Finding the Third Proportional to 500,848 and 1,113,680

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Solution

The third proportional to 500,848 and 1,113,680 is: 2,476,366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,848 : 1,113,680 = 1,113,680 : x
  2. Step 2: Convert to fraction form
    500,848/1,113,680 = 1,113,680/x
  3. Step 3: Cross multiply
    500,848x = 1,113,680 × 1,113,680
  4. Step 4: Simplify right side
    500,848x = 1,240,283,142,400
  5. Step 5: Solve for x
    x = 1,240,283,142,400/500,848
  6. Step 6: Final answer
    x = 2,476,366.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.