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Finding the Third Proportional to 1,409,901.19 and 2,055,438.28

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Solution

The third proportional to 1,409,901.19 and 2,055,438.28 is: 2,996,540.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,901.19 : 2,055,438.28 = 2,055,438.28 : x
  2. Step 2: Convert to fraction form
    1,409,901.19/2,055,438.28 = 2,055,438.28/x
  3. Step 3: Cross multiply
    1,409,901.19x = 2,055,438.28 × 2,055,438.28
  4. Step 4: Simplify right side
    1,409,901.19x = 4,224,826,528,027.95
  5. Step 5: Solve for x
    x = 4,224,826,528,027.95/1,409,901.19
  6. Step 6: Final answer
    x = 2,996,540.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.