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Finding the Third Proportional to 1,460,505.94 and 3,178,155.23

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Solution

The third proportional to 1,460,505.94 and 3,178,155.23 is: 6,915,871.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460,505.94 : 3,178,155.23 = 3,178,155.23 : x
  2. Step 2: Convert to fraction form
    1,460,505.94/3,178,155.23 = 3,178,155.23/x
  3. Step 3: Cross multiply
    1,460,505.94x = 3,178,155.23 × 3,178,155.23
  4. Step 4: Simplify right side
    1,460,505.94x = 10,100,670,693,785.21
  5. Step 5: Solve for x
    x = 10,100,670,693,785.21/1,460,505.94
  6. Step 6: Final answer
    x = 6,915,871.02

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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.