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Finding the Third Proportional to 736,782 and 1,100,623

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Solution

The third proportional to 736,782 and 1,100,623 is: 1,644,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,782 : 1,100,623 = 1,100,623 : x
  2. Step 2: Convert to fraction form
    736,782/1,100,623 = 1,100,623/x
  3. Step 3: Cross multiply
    736,782x = 1,100,623 × 1,100,623
  4. Step 4: Simplify right side
    736,782x = 1,211,370,988,129
  5. Step 5: Solve for x
    x = 1,211,370,988,129/736,782
  6. Step 6: Final answer
    x = 1,644,137.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.