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Finding the Third Proportional to 2,031,059.81 and 2,984,396.91

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Solution

The third proportional to 2,031,059.81 and 2,984,396.91 is: 4,385,210.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031,059.81 : 2,984,396.91 = 2,984,396.91 : x
  2. Step 2: Convert to fraction form
    2,031,059.81/2,984,396.91 = 2,984,396.91/x
  3. Step 3: Cross multiply
    2,031,059.81x = 2,984,396.91 × 2,984,396.91
  4. Step 4: Simplify right side
    2,031,059.81x = 8,906,624,894,034.57
  5. Step 5: Solve for x
    x = 8,906,624,894,034.57/2,031,059.81
  6. Step 6: Final answer
    x = 4,385,210.54

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.