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Finding the Third Proportional to 1,726,284 and 2,613,416

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Solution

The third proportional to 1,726,284 and 2,613,416 is: 3,956,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726,284 : 2,613,416 = 2,613,416 : x
  2. Step 2: Convert to fraction form
    1,726,284/2,613,416 = 2,613,416/x
  3. Step 3: Cross multiply
    1,726,284x = 2,613,416 × 2,613,416
  4. Step 4: Simplify right side
    1,726,284x = 6,829,943,189,056
  5. Step 5: Solve for x
    x = 6,829,943,189,056/1,726,284
  6. Step 6: Final answer
    x = 3,956,442.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.