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Finding the Third Proportional to 964,424.25 and 2,074,009.50

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Solution

The third proportional to 964,424.25 and 2,074,009.50 is: 4,460,190.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,424.25 : 2,074,009.50 = 2,074,009.50 : x
  2. Step 2: Convert to fraction form
    964,424.25/2,074,009.50 = 2,074,009.50/x
  3. Step 3: Cross multiply
    964,424.25x = 2,074,009.50 × 2,074,009.50
  4. Step 4: Simplify right side
    964,424.25x = 4,301,515,406,090.25
  5. Step 5: Solve for x
    x = 4,301,515,406,090.25/964,424.25
  6. Step 6: Final answer
    x = 4,460,190.01

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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.