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Finding the Third Proportional to 772,352 and 1,615,286

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Solution

The third proportional to 772,352 and 1,615,286 is: 3,378,186.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,352 : 1,615,286 = 1,615,286 : x
  2. Step 2: Convert to fraction form
    772,352/1,615,286 = 1,615,286/x
  3. Step 3: Cross multiply
    772,352x = 1,615,286 × 1,615,286
  4. Step 4: Simplify right side
    772,352x = 2,609,148,861,796
  5. Step 5: Solve for x
    x = 2,609,148,861,796/772,352
  6. Step 6: Final answer
    x = 3,378,186.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.