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Finding the Third Proportional to 1,516,085 and 3,317,019

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Solution

The third proportional to 1,516,085 and 3,317,019 is: 7,257,254.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516,085 : 3,317,019 = 3,317,019 : x
  2. Step 2: Convert to fraction form
    1,516,085/3,317,019 = 3,317,019/x
  3. Step 3: Cross multiply
    1,516,085x = 3,317,019 × 3,317,019
  4. Step 4: Simplify right side
    1,516,085x = 11,002,615,046,361
  5. Step 5: Solve for x
    x = 11,002,615,046,361/1,516,085
  6. Step 6: Final answer
    x = 7,257,254.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.