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Finding the Third Proportional to 912,912 and 1,211,616

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Solution

The third proportional to 912,912 and 1,211,616 is: 1,608,055.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,912 : 1,211,616 = 1,211,616 : x
  2. Step 2: Convert to fraction form
    912,912/1,211,616 = 1,211,616/x
  3. Step 3: Cross multiply
    912,912x = 1,211,616 × 1,211,616
  4. Step 4: Simplify right side
    912,912x = 1,468,013,331,456
  5. Step 5: Solve for x
    x = 1,468,013,331,456/912,912
  6. Step 6: Final answer
    x = 1,608,055.68

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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.