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Finding the Third Proportional to 469,764 and 1,016,064

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Solution

The third proportional to 469,764 and 1,016,064 is: 2,197,669.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,764 : 1,016,064 = 1,016,064 : x
  2. Step 2: Convert to fraction form
    469,764/1,016,064 = 1,016,064/x
  3. Step 3: Cross multiply
    469,764x = 1,016,064 × 1,016,064
  4. Step 4: Simplify right side
    469,764x = 1,032,386,052,096
  5. Step 5: Solve for x
    x = 1,032,386,052,096/469,764
  6. Step 6: Final answer
    x = 2,197,669.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.