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Finding the Third Proportional to 692,458.88 and 1,035,920.39

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Solution

The third proportional to 692,458.88 and 1,035,920.39 is: 1,549,739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,458.88 : 1,035,920.39 = 1,035,920.39 : x
  2. Step 2: Convert to fraction form
    692,458.88/1,035,920.39 = 1,035,920.39/x
  3. Step 3: Cross multiply
    692,458.88x = 1,035,920.39 × 1,035,920.39
  4. Step 4: Simplify right side
    692,458.88x = 1,073,131,055,712.65
  5. Step 5: Solve for x
    x = 1,073,131,055,712.65/692,458.88
  6. Step 6: Final answer
    x = 1,549,739.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.