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Finding the Third Proportional to 780,246.42 and 1,684,126.69

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Solution

The third proportional to 780,246.42 and 1,684,126.69 is: 3,635,111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,246.42 : 1,684,126.69 = 1,684,126.69 : x
  2. Step 2: Convert to fraction form
    780,246.42/1,684,126.69 = 1,684,126.69/x
  3. Step 3: Cross multiply
    780,246.42x = 1,684,126.69 × 1,684,126.69
  4. Step 4: Simplify right side
    780,246.42x = 2,836,282,699,549.72
  5. Step 5: Solve for x
    x = 2,836,282,699,549.72/780,246.42
  6. Step 6: Final answer
    x = 3,635,111.45

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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.