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Finding the Third Proportional to 693,912.25 and 1,035,116.28

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Solution

The third proportional to 693,912.25 and 1,035,116.28 is: 1,544,093.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,912.25 : 1,035,116.28 = 1,035,116.28 : x
  2. Step 2: Convert to fraction form
    693,912.25/1,035,116.28 = 1,035,116.28/x
  3. Step 3: Cross multiply
    693,912.25x = 1,035,116.28 × 1,035,116.28
  4. Step 4: Simplify right side
    693,912.25x = 1,071,465,720,763.09
  5. Step 5: Solve for x
    x = 1,071,465,720,763.09/693,912.25
  6. Step 6: Final answer
    x = 1,544,093.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.