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Finding the Third Proportional to 921,809 and 1,880,205

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Solution

The third proportional to 921,809 and 1,880,205 is: 3,835,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,809 : 1,880,205 = 1,880,205 : x
  2. Step 2: Convert to fraction form
    921,809/1,880,205 = 1,880,205/x
  3. Step 3: Cross multiply
    921,809x = 1,880,205 × 1,880,205
  4. Step 4: Simplify right side
    921,809x = 3,535,170,842,025
  5. Step 5: Solve for x
    x = 3,535,170,842,025/921,809
  6. Step 6: Final answer
    x = 3,835,036.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.