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Finding the Third Proportional to 830,740 and 1,801,448

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Solution

The third proportional to 830,740 and 1,801,448 is: 3,906,414.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,740 : 1,801,448 = 1,801,448 : x
  2. Step 2: Convert to fraction form
    830,740/1,801,448 = 1,801,448/x
  3. Step 3: Cross multiply
    830,740x = 1,801,448 × 1,801,448
  4. Step 4: Simplify right side
    830,740x = 3,245,214,896,704
  5. Step 5: Solve for x
    x = 3,245,214,896,704/830,740
  6. Step 6: Final answer
    x = 3,906,414.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.