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Finding the Third Proportional to 925,470 and 1,398,047.25

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Solution

The third proportional to 925,470 and 1,398,047.25 is: 2,111,938.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,470 : 1,398,047.25 = 1,398,047.25 : x
  2. Step 2: Convert to fraction form
    925,470/1,398,047.25 = 1,398,047.25/x
  3. Step 3: Cross multiply
    925,470x = 1,398,047.25 × 1,398,047.25
  4. Step 4: Simplify right side
    925,470x = 1,954,536,113,232.56
  5. Step 5: Solve for x
    x = 1,954,536,113,232.56/925,470
  6. Step 6: Final answer
    x = 2,111,938.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.