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Finding the Third Proportional to 2,241,677 and 4,642,861

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Solution

The third proportional to 2,241,677 and 4,642,861 is: 9,616,085.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241,677 : 4,642,861 = 4,642,861 : x
  2. Step 2: Convert to fraction form
    2,241,677/4,642,861 = 4,642,861/x
  3. Step 3: Cross multiply
    2,241,677x = 4,642,861 × 4,642,861
  4. Step 4: Simplify right side
    2,241,677x = 21,556,158,265,321
  5. Step 5: Solve for x
    x = 21,556,158,265,321/2,241,677
  6. Step 6: Final answer
    x = 9,616,085.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.