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Finding the Third Proportional to 498,764 and 1,076,260

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Solution

The third proportional to 498,764 and 1,076,260 is: 2,322,412.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,764 : 1,076,260 = 1,076,260 : x
  2. Step 2: Convert to fraction form
    498,764/1,076,260 = 1,076,260/x
  3. Step 3: Cross multiply
    498,764x = 1,076,260 × 1,076,260
  4. Step 4: Simplify right side
    498,764x = 1,158,335,587,600
  5. Step 5: Solve for x
    x = 1,158,335,587,600/498,764
  6. Step 6: Final answer
    x = 2,322,412.18

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