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Finding the Third Proportional to 1,464,343.31 and 3,153,714.75

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Solution

The third proportional to 1,464,343.31 and 3,153,714.75 is: 6,792,066.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464,343.31 : 3,153,714.75 = 3,153,714.75 : x
  2. Step 2: Convert to fraction form
    1,464,343.31/3,153,714.75 = 3,153,714.75/x
  3. Step 3: Cross multiply
    1,464,343.31x = 3,153,714.75 × 3,153,714.75
  4. Step 4: Simplify right side
    1,464,343.31x = 9,945,916,724,367.56
  5. Step 5: Solve for x
    x = 9,945,916,724,367.56/1,464,343.31
  6. Step 6: Final answer
    x = 6,792,066.20

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.