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Finding the Third Proportional to 772,724 and 1,629,352

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Solution

The third proportional to 772,724 and 1,629,352 is: 3,435,622.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,724 : 1,629,352 = 1,629,352 : x
  2. Step 2: Convert to fraction form
    772,724/1,629,352 = 1,629,352/x
  3. Step 3: Cross multiply
    772,724x = 1,629,352 × 1,629,352
  4. Step 4: Simplify right side
    772,724x = 2,654,787,939,904
  5. Step 5: Solve for x
    x = 2,654,787,939,904/772,724
  6. Step 6: Final answer
    x = 3,435,622.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.