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Finding the Third Proportional to 1,768,016 and 2,618,875

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Solution

The third proportional to 1,768,016 and 2,618,875 is: 3,879,210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768,016 : 2,618,875 = 2,618,875 : x
  2. Step 2: Convert to fraction form
    1,768,016/2,618,875 = 2,618,875/x
  3. Step 3: Cross multiply
    1,768,016x = 2,618,875 × 2,618,875
  4. Step 4: Simplify right side
    1,768,016x = 6,858,506,265,625
  5. Step 5: Solve for x
    x = 6,858,506,265,625/1,768,016
  6. Step 6: Final answer
    x = 3,879,210.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.