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Finding the Third Proportional to 740,238 and 1,115,829

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Solution

The third proportional to 740,238 and 1,115,829 is: 1,681,991.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,238 : 1,115,829 = 1,115,829 : x
  2. Step 2: Convert to fraction form
    740,238/1,115,829 = 1,115,829/x
  3. Step 3: Cross multiply
    740,238x = 1,115,829 × 1,115,829
  4. Step 4: Simplify right side
    740,238x = 1,245,074,357,241
  5. Step 5: Solve for x
    x = 1,245,074,357,241/740,238
  6. Step 6: Final answer
    x = 1,681,991.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.