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Finding the Third Proportional to 492,242 and 1,158,987

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Solution

The third proportional to 492,242 and 1,158,987 is: 2,728,842.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,242 : 1,158,987 = 1,158,987 : x
  2. Step 2: Convert to fraction form
    492,242/1,158,987 = 1,158,987/x
  3. Step 3: Cross multiply
    492,242x = 1,158,987 × 1,158,987
  4. Step 4: Simplify right side
    492,242x = 1,343,250,866,169
  5. Step 5: Solve for x
    x = 1,343,250,866,169/492,242
  6. Step 6: Final answer
    x = 2,728,842.45

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.