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Finding the Third Proportional to 921,666 and 1,907,274

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Solution

The third proportional to 921,666 and 1,907,274 is: 3,946,868.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,666 : 1,907,274 = 1,907,274 : x
  2. Step 2: Convert to fraction form
    921,666/1,907,274 = 1,907,274/x
  3. Step 3: Cross multiply
    921,666x = 1,907,274 × 1,907,274
  4. Step 4: Simplify right side
    921,666x = 3,637,694,111,076
  5. Step 5: Solve for x
    x = 3,637,694,111,076/921,666
  6. Step 6: Final answer
    x = 3,946,868.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.