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Finding the Third Proportional to 420,714.38 and 917,577.75

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Solution

The third proportional to 420,714.38 and 917,577.75 is: 2,001,236.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,714.38 : 917,577.75 = 917,577.75 : x
  2. Step 2: Convert to fraction form
    420,714.38/917,577.75 = 917,577.75/x
  3. Step 3: Cross multiply
    420,714.38x = 917,577.75 × 917,577.75
  4. Step 4: Simplify right side
    420,714.38x = 841,948,927,295.06
  5. Step 5: Solve for x
    x = 841,948,927,295.06/420,714.38
  6. Step 6: Final answer
    x = 2,001,236.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.