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Finding the Third Proportional to 428,335 and 1,014,749

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Solution

The third proportional to 428,335 and 1,014,749 is: 2,403,995.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,335 : 1,014,749 = 1,014,749 : x
  2. Step 2: Convert to fraction form
    428,335/1,014,749 = 1,014,749/x
  3. Step 3: Cross multiply
    428,335x = 1,014,749 × 1,014,749
  4. Step 4: Simplify right side
    428,335x = 1,029,715,533,001
  5. Step 5: Solve for x
    x = 1,029,715,533,001/428,335
  6. Step 6: Final answer
    x = 2,403,995.78

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.