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Finding the Third Proportional to 469,734 and 1,029,242

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Solution

The third proportional to 469,734 and 1,029,242 is: 2,255,189.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,734 : 1,029,242 = 1,029,242 : x
  2. Step 2: Convert to fraction form
    469,734/1,029,242 = 1,029,242/x
  3. Step 3: Cross multiply
    469,734x = 1,029,242 × 1,029,242
  4. Step 4: Simplify right side
    469,734x = 1,059,339,094,564
  5. Step 5: Solve for x
    x = 1,059,339,094,564/469,734
  6. Step 6: Final answer
    x = 2,255,189.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.