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Finding the Third Proportional to 772,416 and 1,615,448

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Solution

The third proportional to 772,416 and 1,615,448 is: 3,378,583.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,416 : 1,615,448 = 1,615,448 : x
  2. Step 2: Convert to fraction form
    772,416/1,615,448 = 1,615,448/x
  3. Step 3: Cross multiply
    772,416x = 1,615,448 × 1,615,448
  4. Step 4: Simplify right side
    772,416x = 2,609,672,240,704
  5. Step 5: Solve for x
    x = 2,609,672,240,704/772,416
  6. Step 6: Final answer
    x = 3,378,583.87

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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.