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Finding the Third Proportional to 498,903 and 1,094,382

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Solution

The third proportional to 498,903 and 1,094,382 is: 2,400,610.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,903 : 1,094,382 = 1,094,382 : x
  2. Step 2: Convert to fraction form
    498,903/1,094,382 = 1,094,382/x
  3. Step 3: Cross multiply
    498,903x = 1,094,382 × 1,094,382
  4. Step 4: Simplify right side
    498,903x = 1,197,671,961,924
  5. Step 5: Solve for x
    x = 1,197,671,961,924/498,903
  6. Step 6: Final answer
    x = 2,400,610.86

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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.