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Finding the Third Proportional to 1,411,085.81 and 3,096,214.88

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Solution

The third proportional to 1,411,085.81 and 3,096,214.88 is: 6,793,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,085.81 : 3,096,214.88 = 3,096,214.88 : x
  2. Step 2: Convert to fraction form
    1,411,085.81/3,096,214.88 = 3,096,214.88/x
  3. Step 3: Cross multiply
    1,411,085.81x = 3,096,214.88 × 3,096,214.88
  4. Step 4: Simplify right side
    1,411,085.81x = 9,586,546,552,171.27
  5. Step 5: Solve for x
    x = 9,586,546,552,171.27/1,411,085.81
  6. Step 6: Final answer
    x = 6,793,737.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.