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Finding the Third Proportional to 1,585,980 and 3,525,120

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Solution

The third proportional to 1,585,980 and 3,525,120 is: 7,835,200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,980 : 3,525,120 = 3,525,120 : x
  2. Step 2: Convert to fraction form
    1,585,980/3,525,120 = 3,525,120/x
  3. Step 3: Cross multiply
    1,585,980x = 3,525,120 × 3,525,120
  4. Step 4: Simplify right side
    1,585,980x = 12,426,471,014,400
  5. Step 5: Solve for x
    x = 12,426,471,014,400/1,585,980
  6. Step 6: Final answer
    x = 7,835,200.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.