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Finding the Third Proportional to 458,798 and 1,008,356

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Solution

The third proportional to 458,798 and 1,008,356 is: 2,216,186.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,798 : 1,008,356 = 1,008,356 : x
  2. Step 2: Convert to fraction form
    458,798/1,008,356 = 1,008,356/x
  3. Step 3: Cross multiply
    458,798x = 1,008,356 × 1,008,356
  4. Step 4: Simplify right side
    458,798x = 1,016,781,822,736
  5. Step 5: Solve for x
    x = 1,016,781,822,736/458,798
  6. Step 6: Final answer
    x = 2,216,186.26

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.