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Finding the Third Proportional to 688,733.19 and 1,608,304.04

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Solution

The third proportional to 688,733.19 and 1,608,304.04 is: 3,755,651.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,733.19 : 1,608,304.04 = 1,608,304.04 : x
  2. Step 2: Convert to fraction form
    688,733.19/1,608,304.04 = 1,608,304.04/x
  3. Step 3: Cross multiply
    688,733.19x = 1,608,304.04 × 1,608,304.04
  4. Step 4: Simplify right side
    688,733.19x = 2,586,641,894,629.79
  5. Step 5: Solve for x
    x = 2,586,641,894,629.79/688,733.19
  6. Step 6: Final answer
    x = 3,755,651.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.