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Finding the Third Proportional to 648,338.55 and 1,041,706.20

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Solution

The third proportional to 648,338.55 and 1,041,706.20 is: 1,673,742.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,338.55 : 1,041,706.20 = 1,041,706.20 : x
  2. Step 2: Convert to fraction form
    648,338.55/1,041,706.20 = 1,041,706.20/x
  3. Step 3: Cross multiply
    648,338.55x = 1,041,706.20 × 1,041,706.20
  4. Step 4: Simplify right side
    648,338.55x = 1,085,151,797,352.44
  5. Step 5: Solve for x
    x = 1,085,151,797,352.44/648,338.55
  6. Step 6: Final answer
    x = 1,673,742.51

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.