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Finding the Third Proportional to 1,419,024 and 2,087,040

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Solution

The third proportional to 1,419,024 and 2,087,040 is: 3,069,529.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,024 : 2,087,040 = 2,087,040 : x
  2. Step 2: Convert to fraction form
    1,419,024/2,087,040 = 2,087,040/x
  3. Step 3: Cross multiply
    1,419,024x = 2,087,040 × 2,087,040
  4. Step 4: Simplify right side
    1,419,024x = 4,355,735,961,600
  5. Step 5: Solve for x
    x = 4,355,735,961,600/1,419,024
  6. Step 6: Final answer
    x = 3,069,529.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.