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Finding the Third Proportional to 969,740 and 2,115,724

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Solution

The third proportional to 969,740 and 2,115,724 is: 4,615,967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,740 : 2,115,724 = 2,115,724 : x
  2. Step 2: Convert to fraction form
    969,740/2,115,724 = 2,115,724/x
  3. Step 3: Cross multiply
    969,740x = 2,115,724 × 2,115,724
  4. Step 4: Simplify right side
    969,740x = 4,476,288,044,176
  5. Step 5: Solve for x
    x = 4,476,288,044,176/969,740
  6. Step 6: Final answer
    x = 4,615,967.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.