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Finding the Third Proportional to 925,254 and 1,380,206

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Solution

The third proportional to 925,254 and 1,380,206 is: 2,058,860.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,254 : 1,380,206 = 1,380,206 : x
  2. Step 2: Convert to fraction form
    925,254/1,380,206 = 1,380,206/x
  3. Step 3: Cross multiply
    925,254x = 1,380,206 × 1,380,206
  4. Step 4: Simplify right side
    925,254x = 1,904,968,602,436
  5. Step 5: Solve for x
    x = 1,904,968,602,436/925,254
  6. Step 6: Final answer
    x = 2,058,860.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.