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Finding the Third Proportional to 785,477.25 and 1,228,760.25

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Solution

The third proportional to 785,477.25 and 1,228,760.25 is: 1,922,209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,477.25 : 1,228,760.25 = 1,228,760.25 : x
  2. Step 2: Convert to fraction form
    785,477.25/1,228,760.25 = 1,228,760.25/x
  3. Step 3: Cross multiply
    785,477.25x = 1,228,760.25 × 1,228,760.25
  4. Step 4: Simplify right side
    785,477.25x = 1,509,851,751,980.06
  5. Step 5: Solve for x
    x = 1,509,851,751,980.06/785,477.25
  6. Step 6: Final answer
    x = 1,922,209.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.