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Finding the Third Proportional to 912,914 and 1,211,619

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Solution

The third proportional to 912,914 and 1,211,619 is: 1,608,060.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,914 : 1,211,619 = 1,211,619 : x
  2. Step 2: Convert to fraction form
    912,914/1,211,619 = 1,211,619/x
  3. Step 3: Cross multiply
    912,914x = 1,211,619 × 1,211,619
  4. Step 4: Simplify right side
    912,914x = 1,468,020,601,161
  5. Step 5: Solve for x
    x = 1,468,020,601,161/912,914
  6. Step 6: Final answer
    x = 1,608,060.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.